USING VIRTUAL MANIPULATIVES TO SUPPORT TEACHING AND LEARNING MATHEMATICS. Joel Duffin
|
|
- Melvyn Ellis
- 7 years ago
- Views:
Transcription
1 Identifying an agenda of critical development and research needs in the field USING VIRTUAL MANIPULATIVES TO SUPPORT TEACHING AND LEARNING MATHEMATICS Joel Duffin NLVM, Utah State University, Abstract The National Library of Virtual Manipulatives (NLVM) is a free website containing over 110 interactive online tools (virtual manipulatives) and activities for K-12 mathematics such as geoboards, pattern blocks, graphing tools, and logic puzzles. The focus of the NLVM National Science Foundation (NSF) project was to develop flexible, focused, interactive tools, around which rich math learning activities could be developed. As part of a second NSF grant called the enlvm, interdisciplinary teams including classroom teachers extended the NLVM by developing and field testing interactive online math lesson called emodules. Each emodule provides materials for 1-5 days worth of instruction that use NLVM and other web resources, are aligned with state and national standards, and include online assessments. The enlvm also developed a webapplication that allows teachers to organize, adapt and create lessons, track student performance, and collaborate with other teachers. This paper describes the NLVM, enlvm, research that has been conducted, and future directions for NLVM research. Keywords NLVM, virtual manipulatives, mathlets, interactive online mathematics, authoring tools, evaluation, research, theory. I. INTRODUCTION Researchers at Utah State University began using and building interactive tools for teaching and learning mathematics early in the 1990s, using Geometer's Sketchpad as part of summer workshops for teachers and developing CD-based tools to support teaching College Algebra. In 1999, researchers obtained a grant from the National Science Foundation to develop the National Library of Virtual Manipulatives (NLVM), a collection of interactive tools for K-12 mathematics freely available on the internet ( Early efforts focused on the development of math-rich Java applets that could be Joel Duffin, is with Utah State University, Logan, UT USA. He is CEO of Models for Learning, Inc a company whose mission is to prepare youth for careers in Science, Technology, Engineering and Mathematics.
2 Figure 1 NLVM virtual manipulative used on multiple browsers and operating systems, a challenge at that time because the support for Java was very uneven across platforms. The project organized tools into content strands and grade bands identified in the NCTM standards. In addition to tools, the NLVM site includes background information for teachers, help files explaining how to use the tools, and activities illustrating how the tools could be used. Along side of the development of the NLVM, researchers collaborated with publishers and authors to create companion CDs and websites, that used NLVM tools, to accompany math education and liberal arts textbooks. Figure 1 shows an example of an NLVM activity that uses pattern blocks to teach rotation transformations: II. VIRTUAL MANIPULATIVES Initial tools created by NLVM researchers included software counterparts to physical or concrete manipulatives commonly used to teach mathematics in elementary school classrooms, such as base blocks, geoboards, and pattern blocks. While additional tools were created that do not have physical counterparts such as graphing tools, the name virtual manipulatives was retained because it emphasizes interactivity. Other names that have been applied to similar tools include math tools and mathlets. Strengths of virtual manipulatives include: Constraints Constraints can be imposed that help focus student attention on mathematical rules. For example, in base blocks, ten blocks can only be allowed in the tens column. Seeding Virtual manipulatives can be seeded or configured for use in specific activities, increasing focus and saving start up time. Dynamic visualization Visual representations of mathematical concepts can be interacted with, allowing the learner to explore relationships. Multiple, linked representations Representations can be linked to help draw attention to the relationships between the representations and deepen understanding. Hints and immediate feedback Software can make learning more efficient by giving hints when students request it and providing feedback when it recognizes mistakes. Simulations Learners can run simulations that otherwise would be prohibitive in a classroom setting. For example, a spinner can be spun 1000's of time in only a few seconds. Instructional sequences Sequences of instructional activities can be built into online materials that scaffold and focus student learning. Cost Many websites such as the NLVM provide virtual manipulatives for free on the internet. Saving The state of virtual manipulatives can be easily printed or saved so that it can be reviewed, modified, and discussed later. Maintenance In contrast to physical manipulatives, virtual manipulatives don't get lost or broken. Access Virtual manipulatives can be accessed anywhere there is internet access including in student homes. Significant research has been conducted on concrete manipulatives that demonstrate their value for
3 deepening conceptual understanding [1]. Early research on virtual manipulatives attempted to build on research on concrete manipulatives and focused on comparing concrete with virtual manipulatives [2]. While research demonstrated benefits of virtual manipulatives, results vary widely depending on student preparation and stage in learning, instructional strategies, and targeted topics and learning outcomes. Additionally, results showed that benefits can be gained by using them together. III. THEORY FOR THE ADAPTATION OF INTERACTIVE ONLINE LEARNING ACTIVITIES (TADRIOLA) As a significant number of NLVM tools began to be developed, researchers turned their focus to studying classroom use of interactive math tools. Researchers developed a theoretical framework for understanding classroom use of interactive math technology and guiding the design of tools to help support effective, efficient, enjoyable use of that technology. A. Theory Development Based on pilot studies and a review of the literature, researchers proposed a theory, called TATSTAM, that described barriers to use of mathlets and tasks or activities teachers carry out while using mathlets, and prescribed guidelines for the design of tools to support effective use of mathlets [3]. TATSTAM research included the development of an authoring tool called TADRIOLA to support teacher use of interactive online math tools. The formative research methodology depicted in Figure 2 was used to evaluate and iteratively improve the theory. Researchers used focus group, user test, interview, and questionnaire techniques with over 40 K-12 math teachers to iteratively evaluate and refine TASTAM and TADRIOLA. Figure 2 Formative Research Methodology Used to Develop TATSTAM
4 B. Barriers to Teacher Adoption of Mathlets Barriers identified by TASTAM include: Preparation time - Many teachers think that it takes too long to reuse and adapt mathlets. Delivery time - Teachers find that the curriculum is so full and that the pressure to cover all of the content that is tested makes it difficult to find time to include mathlets in their teaching. Insufficient skills - Many teachers think that they lack the technical skills needed to reuse and adapt mathlets. Technology availability - Many teachers think that they do not have adequate, reliable, and timely access to the hardware, software, and network connections needed to use mathlets in their teaching. Resource inflexibility - Many teachers think that most mathlet-based online materials cannot be easily modified in the ways that they want. Context switching - Many teachers think that having to switch back and forth between the different tools needed to reuse and adapt resources is complex and confusing. Grain size mismatch - Many teachers think that the size of online learning resources is often larger than is needed and it is difficult to use only the relevant parts. Search difficulties - Many teachers think that it is hard to find appropriate quality resources. Resource unfamiliarity - Many teachers experience difficulty figuring out how to adapt online resources that they find to fit what they are teaching. C. Teacher Goals Influencing Use of Mathlets During TATSTAM research it became apparent that the goals that teachers were trying to accomplish greatly influenced their attitudes towards and use of technology in teaching. Goals identified by TASTSAM as being important to how teachers use technology in their teaching included: Motivate students - Maintain student interest and motivation for learning. Meet individual needs - Meet the needs of individual learners by providing self- paced learning opportunities. Cover important content - Cover content specified by state standards and that teachers feel is important. Use effective materials and technology - Use computers and other technologies and materials in ways and contexts where they have demonstrated effectiveness. Manage preparation and delivery time - Balance the time requirements of reusing and adapting mathlets with other demands on teacher time. Effectively use class time. Monitor student learning - Track student activities, performance, and learning. D. Model of Teacher Use of Mathlets TATSTAM identified the following tasks that teachers wanted to accomplish as part of using mathlets: Find reusable resources - Find online courses, lessons, activities, and mathlets appropriate for teaching chosen learning objectives.
5 Understand found resources - Learn enough about a resource that has been found to see how to reuse and adapt it. Organize class materials - Select, group, and organize online class materials so that they can be easily accessed from a single place. Prepare lessons and online tests - Select, group, and sequence online activities into lessons designed to support target learning outcomes. Change the appearance and functionality of mathlets - Change the appearance and functionality of mathlets to make them appropriate for given activities. Write activity instructions - Write instructions telling students how you want them to interact with mathlets to solve problems or complete activities. Ensure reliable access to materials - Place prepared online materials on systems that can be reliably accessed at times when they are to be used. Use resources - Use prepared online materials with students. Assess student performance - Easily assess work that students do while working with mathlets. Share resources - Share created or adapted courses, lessons, activities and mathlets with other teachers and specify the conditions of their reuse. As illustrated in Figure 3, these tasks should be considered in the context of the the goals a teacher is trying to accomplish. Figure 3 A model of teacher use of mathlets. E. Design Guidelines for Interactive Online Learning Environments TATSTAM research produced the following guidelines for the design of authoring tools for mathlets: Preview without registering - Make it possible to preview functionality and available resources without registering. Variety of high quality resources - Provide access to high quality learning resources appropriate for teaching the content areas that the teachers who your tool is designed for cover. Search tool and multiple types of indexes - Make it easy to find appropriate resources by browsing and searching using classifications schemes that teachers are familiar with such as state standards. Adaptation tools - Provide features that allow teachers to modify resources that they have found.
6 Activity list editor - Provide features for selecting and sequencing activities in a given lesson. Activity editor - Provide, on a single screen, which resembles what students see, tools for viewing and editing all aspects of a given activity. Activity preview tool - Allow teachers to quickly view exactly what an activity that they are editing will look like to students. Mathlet chooser - Provide indexes of available mathlets and can be used to choose ones to build activities around. Web resource finder tool - Provide a feature for finding resources on the web and including ones that have been found in an activity. Mathlet configuration tools - Make it possible for teachers to change the appearance and functionality of mathlets without programming. Instructions editor - A feature for adapting and writing instructions for activities. Assessment tools - Provide features that allow teachers to provide controls that students can use to submit or print their answers and work. Provide features that allow teachers to review, grade, and give feedback on student work. Class, lesson, and activity sharing tools - Features for sharing classes, lessons, and activities that have been created. Usability - Follow standard usability guidelines and user testing processes to insure all features are usable by teachers. Follow software conventions, use familiar terminology, and provide easily understood navigation controls. Offline versions - Provide versions that allow materials to be authored and used without being connected to the Internet. Support information - Provide online help information, user manuals, and training. IV. enlvm In 2004, researchers obtained NSF funding for the enlvm project ( to extend the NLVM based on TATSTAM research. A. Interdisciplinary Team Approach to Development The enlvm worked with inter-disciplinary teams to develop interactive online lessons called emodules. Teams included classroom teachers, math educators, mathematicians, instructional designers, programmers, and graphic designers. The development process was iterative and involved creating design documents, paper and functional prototypes and conducting expert reviews, user tests and field tests. Teams that included teachers and math specialists who were also part of the Maine Laptop Project used a Lesson Study approach to develop the lessons. Each developed emodule included a lesson plan to guide teachers, one or more lessons consisting of a sequence of activities that utilized mathlets, and an online quiz. Indexes into emodules were organized according to courses in which the emodules could be used.
7 B. Selecting Topics and Tools emodule topics were selected by taking into consideration: What are important topics to cover as identified by state and national standards? What topics are difficult to teach or learn using traditional methods? What topics can the unique characteristics of technology provide significant benefit? What technology tools already exist that can be leveraged to create emodules efficiently? C. Activity Authoring and Delivery In order to author, deliver, and allow teachers to track student performance, the enlvm developed a webapplication uniquely suited to support interactive online math tools. Key functionality included in the enlvm web-application: Mathlet configuration Authors can change mathlet functionality, appearance, and text through web interfaces that do not require programming. Mathlet seeding Authors can seed mathlets with data sets and figures so that they will be initialized that way for a specific activity. Mathlet saving Learners can save work that they do with a mathlet so they can return to it later and teachers can review it. Inclusion of 3 rd party tools Authors can use frames to seemlessly include resources from anywhere on the web in lessons they create. enlvm researchers obtained permission for teachers to do this from major mathlet providers and made it easy to do. When 3 rd party tools are displayed attribution is automatically displayed by the enlvm delivery tool. Instruction authoring Authors can use web-based rich text editors to write activity instructions and questions to accompany mathlets. Question and feedback authoring Authors can easily include controls such as text boxes and buttons for learners to respond to questions the authors have written. Authors can also specify a variety of types of feedback and that answers be recorded. D. Adaptation Tools The enlvm provides multiple ways for teachers to adapt existing lessons. Teachers can copy lessons into courses they set up and reorganize, combine, and modify lessons and activities. E. Assessment Tools In order to help teachers monitor student work using the enlvm, the system records student responses submitted using mathlets and forms. Teachers can view responses in real-time for specific activities and for entire lessons, both for individual students and the entire class at one time. This functionality can be used both to view student work on lesson activities and online quizzes. Teachers report using this functionality to check student progress and identify points that need clarification.
8 F. Publishing and Updating emodules The publishing model of the enlvm web application is that a teacher or author can make changes to the live version of a course, but if they want to allow it to be copied by other teachers, they publish a snapshot of the course. Teachers can then copy the course into their private area where they can then adapt it as needed. When a course is published, the system keeps track of where it came from so that when the original version is updated, teachers who have made copies of the lesson will be notified at their next login, so that they can retrieve updates if they choose to. V. RESEARCH ON VIRTUAL MANIPULATIVES This paper has focused on research related to teacher use of mathlets and the design of tools to support that research. As part of the enlvm project, an external evaluation was performed, case study research was conducted [4], and artifact analysis was performed [6]. A number of other sources report research on student learning from virtual manipulatives [7][8]. VI. FUTURE DIRECTIONS The NLVM has been translated into Spanish, French, Simplified Chinese, Danish, and Arabic. Efforts are ongoing to translate the NLVM into additional languages including Portuguese. Desktop versions of the NLVM have been developed that provide additional functionality over the web version including the ability to access the tools without being connected to the internet, the ability to save and print applets, and to create web pages that contain the applets. Future work will focus on developing more complete virtual manipulative-based curriculum for targeted courses, developing manipulative-based online assessments, and the evaluating, improving, and demonstrating the effectiveness of manipulative-based online lessons. ACKNOWLEDGMENT The work described in this project was supported by National Science Foundation grants IMD and IMD REFERENCES [1] The Mathematics Education Center (2009). Abstracts of research on manipulatives. Retreived May 26, 2010 from [2] Drickey, N.A. (2001). A comparison of virtual and physical manipulatives in teaching visualization and spatial reasoning to middle school mathematics students. Unpublished doctoral dissertation, Utah State University.
9 [3] Duffin, J. (2004). Theory for authoring tools that support teacher adaptation of mathlets. Unpublished doctoral dissertation, Utah State University. Available at: [4] Buffington, P. & Granofsky, B. (2008). The enlvm project: Promoting student achievement in mathematics through educator collaboration. Retrieved Mat, 26, 2010 from [5] Duffin, J. (2009). Research using materials from the NLVM. [6] Duffin, J. (September, 2006). When teachers reuse and remix interactive online resources. Proceedings of the Open Education 2006 conference. Logan, UT. [7] Center for Implementing Technology in Education (2006). Learning mathematics with virtual manipulatives. Retrieved May, 26, 2010 from [8] Deubel, P. (2010). Math manipulatives. Retrieved May, 26, 2010 from Computing Technology for Math Excellence Web site:
Roseberry Primary and Nursery School. Maths Policy
Roseberry Primary and Nursery School Maths Policy October 2015 Purpose The purpose of this policy is to ensure that all staff are able to implement the teaching of maths to a high standard in order for
More informationCheadle Primary School Computing and ICT Policy
Introduction The use of information and communication technology is an integral part of the national curriculum and is a key skill for everyday life. computers, tablets, programmable robots, digital and
More informationElementary pre-service mathematics teachers and technology: are they ready?
Elementary pre-service mathematics teachers and technology: are they ready? Abstract Matthew Boggan Mississippi State University Sallie L. Harper Mississippi State University Elizabeth Bifuh-Ambe University
More informationExecutive Summary Principles and Standards for School Mathematics
Executive Summary Principles and Standards for School Mathematics Overview We live in a time of extraordinary and accelerating change. New knowledge, tools, and ways of doing and communicating mathematics
More informationPREPARING PERSERVICE MATH TEACHERS TO TEACH WITH TODAY'S TECHNOLOGY: KEEPING THEM UP TO DATE
PREPARING PERSERVICE MATH TEACHERS TO TEACH WITH TODAY'S TECHNOLOGY: KEEPING THEM UP TO DATE William Blubaugh University of Northern Colorado 501 20 th Street, Campus Box 122 Greeley, CO 80639-0098 Bill.Blubaugh@unco.edu
More informationStudy Guide. Developing Literate Mathematicians: A Guide for Integrating Language and Literacy Instruction into Secondary Mathematics
Study Guide Developing Literate Mathematicians: A Guide for Integrating Language and Literacy Instruction into Secondary Mathematics Wendy Ward Hoffer The purpose of the book, Developing Literate Mathematicians,
More informationAccessibility Strategies for Mathematics
Accessibility Strategies for Mathematics "Equity does not mean that every student should receive identical instruction; instead, it demands that reasonable and appropriate accommodations be made as needed
More informationThe Primary Curriculum in Schools
The Primary Curriculum in Schools Insights from the Curriculum Implementation Evaluation and the Primary Curriculum Review English Visual Arts Mathematics 1 Introduction During the 2003/2004 school year,
More informationRunning head: LESSONS LEARNED FROM A BEGINNING MATH COACH 1. Lessons Learned from a Beginning Math Coach. Susan Muir.
Running head: LESSONS LEARNED FROM A BEGINNING MATH COACH 1 Lessons Learned from a Beginning Math Coach Susan Muir K-4 Math Coach Good Spirit School Division LESSONS LEARNED FROM A BEGINNING MATH COACH
More informationComments About the Programs Reviewed
Comments About the Programs Reviewed During the review of each of the programs, reviewers were asked to make comments about perceived strengths and weaknesses of the programs and to elaborate on items
More informationProject SOL 1.0, supported by grants from The James Irvine Foundation, The Carnegie
BRIEF HISTORY AND DESCRIPTION OF PROJECT SOL CIVIL RIGHTS PROJECT AT UCLA Project SOL 1.0, supported by grants from The James Irvine Foundation, The Carnegie Corporation, and The Bill and Melinda Gates
More informationMathematics Learning Activity Types 1, 2
Mathematics Learning Activity Types 1, 2 The purpose of presenting an activity types taxonomy for mathematics is to introduce the full range of student learning activities for teachers to consider when
More informationschool of New York City s School of One may turn out to be the single most important experiment conducted in education so far. It is the future.
school of one The School of One s mission is to provide students with personalized, effective, and dynamic classroom instruction customized to their particular academic needs, interests, and learning preferences.
More informationDifferentiated Instruction
Research Into Practice MATHematics Differentiated Instruction Reaching All Students A classroom is very similar to a bus station. Student passengers arrive from a montage of backgrounds with very different
More informationProgram Overview. Before you begin, make sure you have registered for a SuccessNet Plus teacher account.
Program Overview Introduction This guide explores the digits Texas middle school math program. It also explores MATHdashboard the online teacher s portal where you can log in to your SuccessNet Plus account
More informationQuality Assurance Checklists for Evaluating Learning Objects and Online Courses
NHS Shared Learning Quality Assurance Checklists for Evaluating Learning Objects and Online Courses February 2009 Page 1 Note This document provides an outline of the Resource workflow within NHS Shared
More information(Advanced Preparation)
1 NCTM CAEP Standards (2012) Elementary Mathematics Specialist (Advanced Preparation) Standard 1: Content Knowledge Effective elementary mathematics specialists demonstrate and apply knowledge of major
More informationModels of a Vending Machine Business
Math Models: Sample lesson Tom Hughes, 1999 Models of a Vending Machine Business Lesson Overview Students take on different roles in simulating starting a vending machine business in their school that
More informationCOWS: Are They Worth The Push?
COWS: Are They Worth The Push? Jo Ann Fort, Elm Street Middle School, USA, jafort@polk.k12.ga.us Abstract: This action research describes how the mobile computer lab relates to technology integration in
More informationA Sustained Professional Development Partnership in an Urban Middle School Abstract Introduction Purpose
A Sustained Professional Development Partnership in an Urban Middle School Cathy Liebars, The College of New Jersey liebars@tcnj.edu Abstract This paper describes a sustained professional development project,
More informationprofessional development Training Guide
professional development Training Guide u Webinar and training Information u Guided Tour u How To Tips Welcome! Your school now has unlimited access to the award-winning Britannica Online School Edition.
More informationMathematics Curriculum Guide Precalculus 2015-16. Page 1 of 12
Mathematics Curriculum Guide Precalculus 2015-16 Page 1 of 12 Paramount Unified School District High School Math Curriculum Guides 2015 16 In 2015 16, PUSD will continue to implement the Standards by providing
More informationSCAFFOLDING SPECIAL NEEDS STUDENTS LEARNING OF FRACTION EQUIVALENCE USING VIRTUAL MANIPULATIVES
SCAFFOLDING SPECIAL NEEDS STUDENTS LEARNING OF FRACTION EQUIVALENCE USING VIRTUAL MANIPULATIVES Jennifer M. Suh George Mason University Patricia S. Moyer-Packenham George Mason University This collaborative
More informationK-12 Information and Digital Literacy
K-12 Information Digital Literacy K-12 Information Digital Literacy It is the goal of the educators of the Burlington Public Schools to foster a dynamic learning environment that promotes engagement, relevant
More informationPoW-TER Problem Packet A Phone-y Deal? (Author: Peggy McCloskey)
PoW-TER Problem Packet A Phone-y Deal? (Author: Peggy McCloskey) 1. The Problem: A Phone-y Deal? [Problem #3280] With cell phones being so common these days, the phone companies are all competing to earn
More informationSchool Summary Improvement Plan in Numeracy for School Community Cork Educate Together National School, Grattan Street, Cork. Roll Number: 19906G
School Summary Improvement Plan in Numeracy for School Community Cork Educate Together National School, Grattan Street, Cork. Roll Number: 19906G Timeframe for Action: May 2014 to May 2016 Summary of Main
More informationNew Developments in College Algebra
NORTHERN ESSEX COMMUNITY COLLEGE New Developments in College Algebra A Summer Mathematics Workshop Liliana Brand, Habib Maagoul, Linda Murphy, Nancy Nickerson, and Jim Sullivan 7/10/2009 This document
More informationAcquisition Lesson Plan for the Concept, Topic or Skill---Not for the Day
Acquisition Lesson Plan Concept: Linear Systems Author Name(s): High-School Delaware Math Cadre Committee Grade: Ninth Grade Time Frame: Two 45 minute periods Pre-requisite(s): Write algebraic expressions
More informationReviewer s Guide. Georgia High School. Coordinate Algebra Analytic Geometry Advanced Algebra
Reviewer s Guide Georgia High School Mathematics Coordinate Algebra Analytic Geometry Advanced Algebra Georgia High School Mathematics Pearson Georgia High School Mathematics offers a hybrid instructional
More informationCommutative Property Grade One
Ohio Standards Connection Patterns, Functions and Algebra Benchmark E Solve open sentences and explain strategies. Indicator 4 Solve open sentences by representing an expression in more than one way using
More informationNumbers Plus Preschool Mathematics Curriculum: Teacher s Manual
Number and operations involves understanding whole numbers and realizing that numbers represent quantity. It includes learning number words and symbols, counting, comparing and ordering quantities, composing
More information2OO7. Distance Learning Course Guide migrant student graduation enhancement program
2OO7 Distance Learning Course Guide migrant student graduation enhancement program K 16 Education Center * Continuing Education The University of Texas at Austin 2OO7 Distance Learning Course Guide migrant
More informationElementary Math Methods Syllabus
Elementary Math Methods Syllabus Course Description This course is designed to support both new and experienced elementary math educators in refining and focusing their instructional skills. Close examination
More informationJapanese International School. Assessment Recording and Reporting Policy
Japanese International School Assessment Recording and Reporting Policy 1.0 Philosophy and beliefs Through a positive learning environment, the Japanese International School respects the diversity of its
More informationMathematics Learning Activity Types 1, 2
Mathematics Learning Activity Types 1, 2 The purpose of presenting an activity types taxonomy for mathematics is to introduce the full range of student learning activities for teachers to consider when
More informationEXAMPLE FIELD EXPERIENCE PLANNING TEMPLATE CCSU MAT Program
EXAMPLE FIELD EXPERIENCE PLANNING TEMPLATE CCSU MAT Program Secondary Education (Math, History/Social Studies, Science, World Languages) and Special Education (K-12) Goal: The MAT program focuses on preparing
More informationtextthing MFL KS2 Content Evaluation (by Suzanne Ford)
Topologika Software Ltd commissioned TEEM (Teachers Evaluating Educational Software, (http://www.teemeducation.org.uk/) to produce a 'classroom evaluation' and a 'content evaluation'. Here we have combined
More informationEngineering for Middle School: A Web-based Module for Learning and Designing with Simple Machines
Engineering for Middle School: A Web-based Module for Learning and Designing with Simple Machines Ann McKenna and Alice Agogino Graduate Group in Science and Mathematics Education, Department of Mechanical
More informationCOMPUTER APPLICATIONS TECHNOLOGY TEACHER GUIDE
COMPUTER APPLICATIONS TECHNOLOGY TEACHER GUIDE Welcome to the Mindset Computer Applications Technology teaching and learning resources! In partnership with Coza Cares Foundation, Mindset Learn, a division
More informationfor Technology (ICT) Literate Students
A major component of the NETS Project is the development of a general set of profiles describing technology (ICT) literate students at key developmental points in their precollege education. These profiles
More informationThe Reporting Console
Chapter 1 The Reporting Console This chapter provides a tour of the WebTrends Reporting Console and describes how you can use it to view WebTrends reports. It also provides information about how to customize
More informationSTUDENT CENTERED INSTRUCTIONAL DESIGN FOR E-LEARNING CONTENT LEARNING MANAGEMENT SYSTEM (LMS)
Proceedings of the 2 nd International Conference of Teaching and Learning (ICTL 2009) INTI University College, Malaysia STUDENT CENTERED INSTRUCTIONAL DESIGN FOR E-LEARNING CONTENT LEARNING MANAGEMENT
More informationDRAFT 2/3/2016. Use this link (goo.gl/1ar12y) to access the recording of the review period launch webinar.
Preface to the draft DRAFT 2/3/2016 The goal of the K-12 CS framework is to identify the core concepts and practices of K-12 computer science, and include statements that detail powerful ideas in computer
More informationDifferentiated Instruction
Differentiated Instruction In any classroom, students will have a range of abilities, needs and interests. Differentiated instruction is any instructional strategy that recognizes and supports individual
More informationMathematics Policy. Michael Sobell Sinai School
Mathematics Policy 2014 Mathematics Policy Section 1: Introduction Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some
More informationCGMB 123 MULTIMEDIA APPLICATION DEVELOPMENT
CGMB 123 MULTIMEDIA APPLICATION DEVELOPMENT Chapter 7 Instructional System Design Models T.J.Iskandar Abd. Aziz tjiskandar@uniten.edu.my Part I Instructional Design Terms & Definition Objectives 3 Upon
More informationMastery approaches to mathematics and the new national curriculum
October 2014 Mastery approaches to mathematics and the new national curriculum Mastery in high performing countries The content and principles underpinning the 2014 mathematics curriculum reflect those
More informationProblem of the Month: Fair Games
Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:
More informationThe CS Principles Project 1
The CS Principles Project 1 Owen Astrachan, Duke University Amy Briggs, Middlebury College Abstract The Computer Science Principles project is part of a national effort to reach a wide and diverse audience
More informationHow do you use word processing software (MS Word)?
How do you use word processing software (MS Word)? Page 1 How do you use word processing software (MS Word)? Lesson Length: 2 hours Lesson Plan: The following text will lead you (the instructor) through
More informationTEAM PLANNING AND REPORTING
Chapter 10 TEAM PLANNING AND REPORTING TOOLS: Tool 10.1 Tool 10.2 Tool 10.3 Tool 10.4 Tool 10.5 Sample team plan. 3 pages Team planning template. 3 pages Alternative team planning template. 1 page Team
More informationCHICAGO PUBLIC SCHOOLS (ILLINOIS) MATH & SCIENCE INITIATIVE COURSE FRAMEWORK FOR ALGEBRA Course Framework: Algebra
Chicago Public Schools (Illinois) Math & Science Initiative Course Framework for Algebra Course Framework: Algebra Central Concepts and Habits of Mind The following concepts represent the big ideas or
More informationWeb design & planning
Instructor Guide Timing: 12 to 18 hours Level: Ages 15 and up Web design & planning Project Overview In this project, student teams work on a project to build a website for a client. The client selects
More informationNew Hampshire Department of Education Special Education Program Approval and Improvement Process
New Hampshire Department of Education Special Education Program Approval and Improvement Process The mission of NHDOE Special Education Program Approval is to improve education results for all learners.
More informationThe Coppice Primary School Computing & ICT Policy
The Coppice Primary School Computing & ICT Policy 1 School Vision: Happy, confident and successful learners that are well prepared for life 2 Purpose: 2.1 This policy reflects the school values and philosophy
More informationThe National Educational Technology Standards. (Upon which our local standards are based)
The National Educational Standards (Upon which our local standards are based) Students demonstrate a sound understanding of the nature and operation of technology systems. Students are proficient in the
More informationResearch Basis for Catchup Math
Research Basis for Catchup Math Robert S. Ryan, Ph. D. Associate Professor of Cognitive Psychology Kutztown University Preface Kutztown University is a 4 year undergraduate university that is one of 14
More informationDigital Literacy: Theoretical Framework
Digital Literacy: Theoretical Framework September 2014 Table of Contents Definition... 1 Key Concepts... 1 Digital Literacy Competencies... 2 Digital Literacy and Student Centered Learning... 9 Generous
More informationPreparing Teachers to Teach Mathematics With Technology
Preparing Teachers to Teach Mathematics With Technology Margaret L. Niess Oregon State University, USA niessm@onid.oregonstate.edu Abstract: The challenge for mathematics teacher educators is to identify
More informationFive High Order Thinking Skills
Five High Order Introduction The high technology like computers and calculators has profoundly changed the world of mathematics education. It is not only what aspects of mathematics are essential for learning,
More informationResearch on Graphic Organizers
Research on Graphic Organizers Graphic Organizers are visual representations of a text or a topic. Organizers provide templates or frames for students or teachers to identify pertinent facts, to organize
More informationDiscovering Math: Data and Graphs Teacher s Guide
Teacher s Guide Grade Level: K 2 Curriculum Focus: Mathematics Lesson Duration: Two class periods Program Description Discovering Math: Data and Graphs From simple graphs to sampling to determining what
More informationWindchill PDMLink 10.1. Curriculum Guide
Windchill PDMLink 10.1 Curriculum Guide Live Classroom Curriculum Guide Update to Windchill PDMLink 10.1 from Windchill PDMLink 9.0/9.1 Introduction to Windchill PDMLink 10.1 for Light Users Introduction
More informationChapter 3: Teaching Learning Strategies in the Learner- Centered Classroom
Chapter 3: Teaching Learning Strategies in the Learner- Centered Classroom In this chapter, we demonstrate how you can teach your students to make their learning more efficient and effective by thinking
More informationPERSONALIZED WEB MAP CUSTOMIZED SERVICE
CO-436 PERSONALIZED WEB MAP CUSTOMIZED SERVICE CHEN Y.(1), WU Z.(1), YE H.(2) (1) Zhengzhou Institute of Surveying and Mapping, ZHENGZHOU, CHINA ; (2) North China Institute of Water Conservancy and Hydroelectric
More informationTHE BLASTER METHOD: MATH GAMES TO MAKE YOU MATH SMART
THE BLASTER METHOD: MATH GAMES TO MAKE YOU MATH SMART Math fundamentals for a technological age: What makes students math smart? What makes a student math smart? What kind of mathematical competencies
More informationRequirements & Guidelines for the Preparation of the New Mexico Online Portfolio for Alternative Licensure
Requirements & Guidelines for the Preparation of the New Mexico Online Portfolio for Alternative Licensure Prepared for the New Mexico Public Education Department Educator Quality Division http://www.ped.state.nm.us/
More informationOSU CASCADES. Master of Arts in Teaching Program ESOL Endorsement and/or Middle and High School Education Program Winter 2014
1 OSU CASCADES Master of Arts in Teaching Program ESOL Endorsement and/or Middle and High School Education Program Winter 2014 TCE 573 Instructional Approaches for ESOL/Bilingual Education (3 credits)
More informationUpcoming 2015 Moodle Training Courses
hosted by September 2015 Volume 5, Issue 9 Newsletter Upcoming 2015 Moodle Training Courses Special Interest Articles Upcoming Moodle Training Individual Highlights PRISM in the Classroom Online Tutors
More informationVirtual Classroom Student Guide
Virtual Classroom Student Guide Table of Contents Overview 3 Grade Weights 3 Finding Help 3 Virtual Classroom Login 4 Virtual Classroom Lobby 5 The Course Map 6 Activities in the Virtual Classroom 7 Vocabulary
More informationGOVERNOR LIVINGSTON HIGH SCHOOL IA/TECHNOLOGY DEPARTMENT WEB DESIGN #PAS0030. Curriculum Guide
BERKELEY HEIGHTS PUBLIC SCHOOLS BERKELEY HEIGHTS, NEW JERSEY GOVERNOR LIVINGSTON HIGH SCHOOL IA/TECHNOLOGY DEPARTMENT WEB DESIGN #PAS0030 Curriculum Guide September 2012 Mrs. Judith Rattner, Superintendent
More informationKey Tasks for Accelerated Reader Renaissance Place
Key Tasks for Accelerated Reader Renaissance Place Welcome Our new Renaissance Place edition of Accelerated Reader still helps you motivate and monitor students guided independent reading practice, but
More informationKaren Fuson, Pam Richards, and Robyn Seifert
The Math Expressions Mastery Learning Loop Keeping All Students on the Grade-Level Learning Path by Giving More Time and Support to In-Class Periodic Interventions and Out-of-Class Tier 2 & Tier 3 Follow
More informationVoluntary Product Accessibility Template Blackboard Learn Release 9.1 April 2014 (Published April 30, 2014)
Voluntary Product Accessibility Template Blackboard Learn Release 9.1 April 2014 (Published April 30, 2014) Contents: Introduction Key Improvements VPAT Section 1194.21: Software Applications and Operating
More informationPBS TeacherLine Course Syllabus
1 Title Promoting Digital Media Literacy in Students Target Audience This course is designed for current and pre-service teachers of grades K-12. TBA Facilitator Credit To be determined by college or university
More informationWhat is the PYP Perspective on Assessment?
What is the PYP Perspective on Assessment? Assessment is the gathering and analysis of information about student performance. It identifies what students know, understand, can do and feel at different
More informationTechnology in the Classroom
1 Understanding Technology Integration In The Classroom Understand Integrating Technology In The Classroom Looks at different ways to interpret what is meant by integrating technology in the Gives examples
More informationCreating and Adopting Open High School Science Textbooks
David Wiley, Lumen Learning Sarah Young, Utah State Office of Education Introduction The Utah Open Textbook Initiative (UTOT) began in 2010. From a small pilot involving less than 10 teachers and three
More informationMath Content by Strand 1
Math Content by Strand 1 Number and Operations with Whole Numbers Multiplication and Division Grade 3 In Grade 3, students investigate the properties of multiplication and division, including the inverse
More informationSMART Software for Mobile Devices Sales brief
SMART Software for Mobile Devices Sales brief For reseller use only This brief provides a summary of the information and tools available to assist in you in your conversations with education customers
More informationInstructional Practices. Curriculum Differentiation Discrete Trial Overview Age Appropriate Materials
Instructional Practices Curriculum Differentiation Discrete Trial Overview Age Appropriate Materials Curriculum 61 Curriculum Portland Public Schools has adopted curriculum for Communication Behavior Classrooms.
More informationCOURSE OF STUDY OUTLINE BUSINESS GRADE 9/10, BUSINESS, OPEN (BTT10/BTT20)
COURSE OF STUDY OUTLINE BUSINESS GRADE 9/10, BUSINESS, OPEN (BTT10/BTT20) 2015 PATHWAYS EDUCATIONAL SERVICES INC. DEPARTMENT: BUSINESS COURSE CODE: BTT10/20 COURSE TITLE: GRADE 9/10 BUSINESS, Open MINISTRY
More informationMathematics Education Master of Education Degree Program PROFESSIONAL PORTFOLIO RUBRIC Candidate: ID#: Date: Evaluator:
Mathematics Education Master of Education Degree Program PROFESSIONAL PORTFOLIO RUBRIC Candidate: ID#: Date: Evaluator: Recommendations: Evaluator Signature: Grade: PASS FAIL Developing Acceptable Optimum
More informationMaths Non-negotiables
Maths Non-negotiables Arithmetic must be taught on a daily basis. Its focus should be developing mental strategies fluency. Times tables should be a key mental maths focus in year 3 4. The new curriculum
More informationMath Program Selection. Board of Education March 12, 2014
Math Program Selection Board of Education March 12, 2014 Why a Math Program? Math Shifts- Focus, Coherence, Rigor, Deep Understanding, Application, Dual Intensity Will provide consistency and common teaching
More informationAdopted on May 14, 2010
Nevada Computer and Technology Standards Classroom Technology Integration for the 21 st Century 2010 Adopted on May 14, 2010 Nevada Department of Education 700 East Fifth Street Carson City, NV 89701 www.doe.nv.gov
More informationGuest Editorial: Digital Videos as Tools for Learning Mathematics
Niess, M. L. & Walker, J. M. (2010). Guest editorial: Digital videos as tools for learning mathematics. Contemporary Issues in Technology and Teacher Education, 10(1), 100-105. Guest Editorial: Digital
More informationOn-Demand Modules for Teacher Professional Development: The Importance of Adult Learning Theory
On-Demand Modules for Teacher Professional Development: The Importance of Adult Learning Theory Valerie Simmons Sanford Inspire Program Mary Lou Fulton Teachers College Arizona State University Valerie.Simmons@asu.edu
More informationActivity 4: Planning an Extension Lesson on Energy Using the 5E Model
Activity 4: Planning an Extension Lesson on Energy Using the 5E Model 1 Suggested Pre-Planning Questions 1. What is the Big Idea? 2. What are your essential questions? 3. What approach will you use in
More informationB.M.C. Durfee High School Honors Precalculus Course Syllabus 2012-2013
Course: Precalculus (10301) Credits: 1 Instructor: Mrs. Brogan-Price Room #: 334 e-mail: jbrogan@fallriverschools.org Web Page: http://fallriverschools.org/jbrogan-price.cfm School Phone Number: 508-675-8100
More informationResearch Findings on the Transition to Algebra series
Research Findings on the Transition to Algebra series Pre- and Post-Test Findings Teacher Surveys Teacher Focus Group Interviews Student Focus Group Interviews End-of-Year Student Survey The following
More informationDesigning Socio-Technical Systems to Support Guided Discovery-Based Learning in Students: The Case of the Globaloria Game Design Initiative
Designing Socio-Technical Systems to Support Guided Discovery-Based Learning in Students: The Case of the Globaloria Game Design Initiative Rebecca Reynolds 1, Sean P. Goggins 2 1 Rutgers University School
More informationUnit 2 Module 3: Generating Examples and Nonexamples
Unit 2 Module 3: Generating Examples and Nonexamples Section 1 Slide 1 Title Slide Welcome to the third module in the Vocabulary Instructional Routines unit, Generating Examples and Nonexamples. Slide
More informationCOMPLETING THE ONTARIO PROVINCIAL REPORT CARD
Information and Technology Services Maplewood Admin Elementary COMPLETING THE ONTARIO PROVINCIAL REPORT CARD Student Achievement is reported to the Ministry through your school s OnSIS submissions. Errors
More informationEducational Technology Plan for Columbus City SD - 043802
Educational Technology Plan for Columbus City SD - 043802 School Years: 2009-10 2010-11 2011-12 etech Ohio Certified on Jun 10, 2009 Certification Period: July 1, 2009 - Jun 30, 2012 *created using the
More informationGRADE 8 MATH: TALK AND TEXT PLANS
GRADE 8 MATH: TALK AND TEXT PLANS UNIT OVERVIEW This packet contains a curriculum-embedded Common Core standards aligned task and instructional supports. The task is embedded in a three week unit on systems
More informationUsing Algebra Tiles for Adding/Subtracting Integers and to Solve 2-step Equations Grade 7 By Rich Butera
Using Algebra Tiles for Adding/Subtracting Integers and to Solve 2-step Equations Grade 7 By Rich Butera 1 Overall Unit Objective I am currently student teaching Seventh grade at Springville Griffith Middle
More informationSLO/SAO CHANGES AS A RESULT OF ASSESSMENT
CHANGES AS A RESULT OF ASSESSMENT March 2012 1. Institutional Learning Outcomes 2. Student Learning Outcomes (Instructional Program and Course) 3. Service Level Outcomes (Student Services) 4. Service Area
More informationAn Introduction to K12 s Online School (OLS)
An Introduction to K12 s Online School (OLS) 1 Introducing the Online School (OLS)... 6 Logging In... 6 OLS Home page... 8 My Account Menu... 9 To Edit Basic Account Information for Yourself... 9 Tip:
More information