The Most Widely Used. Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s. and

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1 The Most Widely Used Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s Mathematics International (Elementary School, s 1 to 6) and Mathematics International (Lower Secondary School, s 7 to 9) Learn how Japanese teachers develop deep mathematical understanding for both themselves and their students!

2 A peek inside Tokyo Shoseki s Mathematics International, s 1 to 6 Designed to promote Teaching Through Problem Solving (TTPS). New mathematics concepts are introduced in the context of story problems. Students are encouraged to solve problems, present and explain their ideas, understand different solution strategies, and identify and generate key mathematical ideas. TTPS develops students mathematical dispositions, habits and practices while they learn new content. 6 2 Representational models are used to help students understand the structure of the problem and to enable them to construct mathematical equations for solving problems. 1

3 5 Different solution methods help students understand multiple ways to solve problems while presenting opportunities for them to discuss their ideas. 4 Algorithms are introduced with diagrams and pictures to help students understand the calculation process conceptually. The characters provide helpful hints and highlight important points students need to notice. 2

4 A peek inside Tokyo Shoseki s Mathematics International, s 7 to 9 Designed to promote Teaching Through Problem Solving (TTPS). New mathematics concepts are introduced in the context of story problems. Students are encouraged to solve problems, present and explain their ideas, understand different solution strategies, and identify and generate key mathematical ideas. TTPS develops students mathematical dispositions, habits and practices while they learn new content. 8 The characters provide helpful hints and highlight important points students need to notice. Students are pushed to apply prior learning to the new problem. New idea: represent a relationship among quantities using 2 variables Students recognize the simplicity of using 2 variables to represent a relationship. Later, students will learn how to solve systems of equations. 3

5 Through mathematical activities, students practice mathematical reasoning and develop formulas with understanding. Students learn proof in order to develop their mathematical and logical thinking Students have learned to draw geometric figures using graph paper, set-squares, protractors, and compasses in the elementary grades. In grades 7 to 9, students learn formal geometric construction. Constructions heighten students interest in geometric figures, build their intuition, and help students think about figures more deeply. Constructions also facilitate students mathematical thinking and logical reasoning the bases of formal reasoning and proof. 4

6 Other Feature of Mathematics International A detailed guide helps students improve their note-taking, which improves their communication skills. 4 7 Students learn to record their own thinking, their friends thinking, and the mathematical ideas they learned in their notebooks. Students also learn to write their own reflection of their learning. Notebooks are utilized for their future learning. 9 Exemplary solutions are often shown in notebook page format so the students can learn how to express their solutions in their notebook. 5

7 Table of Contents 1 Making Groups and Numbers 2 Ordinal Numbers 3 Two Numbers Together 4 Addition Together and Adding More 5 What Is Left and What Is Difference? 6 Numbers Greater Than 10 7 Time hour and half-hour 8 How Many Flowers Are in Bloom? 9 Which One Is Longer? 10 Calculation of Three Numbers 11 Which One Has More? 12 Addition 13 Playing with Shapes 14 Subtraction 15 Which One Takes Up More Space? 16 Numbers Greater Than Time hours and minutes 18 Let s Use Diagram 19 Making Shapes Structure of Large Numbers 2 Size of Angles 3 Division Algorithm (1) 1-digit Divisors 4 Perpendicular / Parallel Lines and Quadrilaterals 5 Broken Line Graphs 6 Abacus 7 Structure of Decimal Numbers 8 Division Algorithm (2) 2-Digit Divisors 9 How to Organize Data 10 Properties of Operations 11 How to Measure and Express Area 12 Fractions 13 Investigating Changes 14 Approximate Numbers 15 Multiplication and Division of Decimal Numbers 16 Cubes and Cuboics 1 Tables and Graphs 2 Time and Elapsed Time 3 Addition Algorithm 4 Subtraction Algorithm 5 Units of Length 6 3-Digit Numbers 7 Units of Capacity of Water 8 Better Ways to Calculate 9 Addition and Subtraction Algorithms 10 Triangles and Quadrilaterals 11 Fractions 12 Multiplication (1) 13 Multiplication (2) 14 4-Digit Numbers 15 Units of Length of Long Objects 16 Addition and Subtraction 17 Shapes of Boxes Whole Numbers and Decimal Numbers 2 Volume of Cubes and Cuboids 3 Multiplication of Decimal Numbers 4 Division of Decimal Numbers 5 Congruent Shapes 6 Even and Odd Numbers, Multiplies and Factors 7 Per Unit Quantity 8 Fractions and Decimal Numbers 9 Angles of Geometric Figures 10 Addition and Subtraction of Fractions 11 Area of Quadrilaterals 12 Percentage and Graphs 13 Regular Polygons and Length Around Circles 14 Multiplication and Division of Fractions 15 Prisms and Cylinders 1 Multiplication 2 How to Find Time and Elapsed Time 3 Division 4 Circles and Spheres 5 Addition and Subtraction Algorithms 6 Mental Calculation 7 Division with Remainders 8 Structure of Large Numbers 9 Multiplication Algorithm (1) 10 Division with Large Numbers 11 How to Measure the Length of Long Objects 12 Decimal Numbers 13 Triangles 14 Fractions 15 Math Sentence Using 16 Multiplication Algorithm (2) 17 Bar Graphs and Tables 18 Measurement Units of Weight and How to Measure 19 Abacus Area of Circles 2 Letters and Math Sentences 3 Multiplication of Fractions 4 Division of Fractions 5 Symmetric Figures 6 Ratios and Values of Ratios 7 Enlarged and Reduced Drawings 8 Speed 9 Volume of Prisms and Cylinders 10 Approximate Area 11 Direct and Inverse Proportional Relationships 12 How to Analyze Data 13 Number of Cases 14 The System of Units of Measurement 7 1 Positive and Negative Numbers 2 Letters in Algebraic Expressions 3 Equations 4 Direct and Inverse Proportions 5 Plane Figures 6 Spatial Figures 7 Variation in Data and Representative Values 8 1 Calculations with Algebraic Expressions 2 Systems of Equations 3 Linear Functions 4 Parallelism and Congruence 5 Triangles and Quadrilaterals 6 Probability 9 1 Polynomials 2 Square Roots 3 Quadraic Equations 4 The Function y = ax2 5 Similar Geometric Figures 6 The Pythagorean Theorem 7 Circles 8 Sampling 6

8 What research says: American students and teachers are greatly disadvantaged by our country s lack of a common, coherent curriculum and the texts, materials and training that match it. -Schmidt, W.H., Houang, R.T., and Cogan, L.S. (2002) A coherent curriculum: A case of mathematics, American Educator ( The high performance of Japanese students in international mathematics assessments has been highlighted by the Trends in International Mathematics and Science Study (TIMSS) in 1995, 1999, 2003, 2011, Explanations for their high performance have included student-centered, problem solving lessons, a focused and rigorous curriculum and textbooks, and teacher content knowledge, which have prompted some researchers to recommend the development of focused and coherent curricula for improving teachers content and pedagogical knowledge and student learning in the U.S. Now, teachers outside of Japan can finally see for themselves how Japanese teachers develop dynamic lessons and deep mathematical understanding with the English publication of the most widely used textbook in Japan, Tokyo Shoseki s Mathematics International (elementary school grades 1 to 6 and lower secondary grades 7 to 9)! These textbooks: Were written by Japanese mathematics educators, mathematicians, and accomplished Lesson Study practitioners Introduce a limited number of topics each year Go beyond procedural to conceptual understanding Help teachers and students understand how lessons develop concepts within and across grade levels Are an invaluable resource of high-quality mathematical content and pedagogy, especially when studied as an entire set (grades 1 to 6 or grades 1 to 9) They are must-have resources for: teacher and Lesson Study groups professional developers supervisors, coaches, and facilitators researchers and curriculum developers teacher educators and pre-service teachers after-school and enrichment providers home schoolers The books are a tremendous resource for teachers, no matter what curriculum you use, to enhance mathematical and pedagogical understanding. They provide U.S. mathematics Lesson Study communities with the same resources Japanese teachers have used for many years. -Bill Jackson, Mathematics Staff Developer, Franklin Lakes Public Schools Tokyo Shoseki s information Information of Distributor TOKYO SHOSEKI