Exploratory Activities in the Classroom

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Exploratory Activities in the Classroom A Cognitive Science Perspective Marci DeCaro, PhD Department of Psychological and Brain Sciences

Digit Span Activity

How did your thinking change between the first task and the second? Digit Span Activity

1 st task measures short-term memory Storage & passive rehearsal 2 nd task measures working memory Storage & active manipulation Digit Span Activity

Exploratory Learning Activity Characteristics?

Exploratory Activities in the Classroom What are they? Why do they work? Important characteristics For whom are they most helpful?

Exploratory Activities in the Classroom What are they? Why do they work? Important characteristics For whom are they most helpful?

Exploratory Learning Constructivism Active learning Inquiry Student-centered Direct Instruction Instructivism Passive Learning Authority Teacher-centered

Exploratory Learning Increases motivation, active engagement Encourages hypothesis testing Discover underlying patterns, causality Direct Instruction Lessens burden on cognitive resources Supports development of accurate knowledge Allows more coverage of content (Bonawitz et al., 2011; Piaget, 1973, Wise & O Neill, 2009) (Kirschner et al., 1996)

Exploratory Learning Direct Instruction Pure discovery learning does not increase learning outcomes as much as direct instruction (Alfieri et al., 2011) (Bonawitz et al., 2011; Piaget, 1973, Wise & O Neill, 2009) (Kirschner et al., 1996)

Exploratory Learning & Combining aspects of both approaches is even better. (Alfieri et al., 2011) Direct Instruction (Bonawitz et al., 2011; Piaget, 1973, Wise & O Neill, 2009) (Kirschner et al., 1996)

9 th grade boys in Singapore Previous experience with central tendency (mean, median, mode) Exploring Variance (Kapur, 2012)

Exploration Condition Which of these 3 potential players has been the most consistent (and should be hired)? Please come up with a formula for consistency and show which player is the most consistent striker. Later told canonical solution and practiced Exploring Variance (Kapur, 2012)

Exploration Condition Example Problem Approaches computing central tendency Exploring Variance (Kapur, 2012)

Exploration Condition Example Problem Approaches graphing to examine patterns Exploring Variance (Kapur, 2012)

Exploration Condition Example Problem Approaches summing deviations from the mean Exploring Variance (Kapur, 2012)

Direct Instruction Condition First told canonical solution Practiced Completed same problems as exploration condition, plus extra (to equate time) Exploring Variance (Kapur, 2012)

Exploring Variance (Kapur, 2012)

Cognitive psychology (Schwartz & Bransford, 1998) Economics (Capon & Kuhn, 2004) Early algebra learning (DeCaro & Rittle-Johnson, 2012) Descriptive statistics (Schwartz & Martin, 2004) Density (Schwartz et al., 2012) Other Domains

Exploratory Activities in the Classroom What are they? Why do they work? Important characteristics For whom are they most helpful?

Preparation for future learning Creates a need to know (Hiebert & Groews, 2007; Wise & O Neill, 2009) Dispels illusions of understanding (Bjork, 1994) Activates (or creates) relevant prior knowledge (Kapur, 2012; Schwartz & Bransford, 1998) Helps learners notice features they might otherwise overlook (Schwartz & Bransford, 1998)

Exploratory Activities in the Classroom What are they? Why do they work? Important characteristics For whom are they most helpful?

General Features Set up a problem to be solved or a phenomenon to explain Require explanation and elaboration ( why? ) Challenge, but do not frustrate (Kapur, 2012)

Inventing Procedures Otherwise, will focus on the procedure, rather than what makes it useful Exploring Variance (Kapur, 2012) (Schwartz, Lindgren, & Lewis, 2009)

Compare/Contrast 10 = 7 + 3 + 5 + 2 = 3 + Highlight important features by using contrasts (but not too many contrasts) (DeCaro & Rittle-Johnson, 2012; Fyfe, DeCaro, & Rittle-Johnson, under review; Schwartz, Lindgren, & Lewis, 2009)

Schema Induction An experiential activity (e.g., video, demonstration) given before instruction can introduce learners to basic features and questions

Exploratory Activities in the Classroom What are they? Why do they work? Important characteristics For whom are they most helpful?

Prior Knowledge An important benefit of exploration is to develop prior knowledge seek answers Sufficient prior knowledge already have questions and seek answers (Schwartz & Bransford, 1998; Schwartz, Lindgren, & Lewis, 2009)

Response to Challenge Students approach learning with different goals and conceptions of ideal performance (Hidi & Renninger, 2006) (Diener & Dweck, 1980)

Response to Challenge Higher Mastery-Orientation Desire personal growth View challenge (confusion, difficulty) as an opportunity to learn Respond to setbacks with increased effort and persistence Higher Performance-Orientation Desire to demonstrate ability View challenge (confusion, difficulty) as a sign of incompetence Respond to setbacks by withdrawing (Diener & Dweck, 1980)

Response to Challenge Higher Mastery-Orientation Desire personal growth View challenge (confusion, difficulty) as an opportunity to learn Respond to setbacks with increased effort and persistence Higher Performance-Orientation Desire to demonstrate ability View challenge (confusion, difficulty) as a sign of incompetence Respond to setbacks by withdrawing Benefit most from exploratory activities (DeCaro, DeCaro, & Rittle- Johnson, in prep.) (Diener & Dweck, 1980)

Response to Challenge Encouraging Mastery-Orientation Many people make mistakes in the beginning but get better as they go along. Try to see this activity as a challenge you can learn from. (adapted from Graham & Golan, 1991)

Concept you typically tell then practice? How could you flip this to create an exploratory activity? Your Ideas

Final Thoughts Exploratory activities can: Take more class time, but students can learn more from less material Result in equal ability to use procedures, but promote a deeper level of conceptual understanding Require more planning, but can also simply require switching the order of activities Be less helpful in some situations, such as when learners already have a rich knowledge base Frustrate some students, but encouraging masteryorientation should help