Helping Students Maintain Calculus Skills over School Breaks 2 1 - - PDF document

5/4/20 1

32nd International Conference on Technology in Collegiate Mathematics

ictcm.com | #ICTCM

ORLANDO, FL

March 12-14

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Helping Students Maintain Calculus Skills over School Breaks

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Carla van de Sande

Associate Professor of Mathematics Education Arizona State University carla.vandesande@asu.edu

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If you don’t use it, you lose it…

• Not just physical skills…cognitive skills too! (Cooper, 2003)
• A real problem for K-12 students (Cooper, Nye, Charlton,

Lindsay, & Greathouse, 1996)

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• Hurts math learning especially. (Cooper, 1989)
• Extends even beyond K-12 … (van de Sande & Reiser,

2018)

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Why does it matter?

COURSE 2 NEW MATERIAL COURSE 1 PRIOR MATERIAL

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How can we help them remember?

Retrieval practice and the Testing Effect (Butler, Marsh,

Slavinsky, & Baraniuk, 2014; McDaniel, Anderson, Derbish, & Morrisette, 2007; Roediger & Butler, 2011; Roediger & Karpicke, 2006).

“Nudges”

(Castleman & Meyer, 2016; Castleman & Page, 2013, 2014; Karlan et al, 2010; Obermayer, Riley, Asif, and Jean-Mary, 2004; Kraft & Dougherty, 2013; Thaler & Sunstein, 2008; Woolford, Clark, Strecher, & Resnicow, 2010; Kraft & Monti-Nussbaum, 2017).

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K SS

A program to Keep in School Shape during breaks in traditional instruction

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I donated to the cause that got the most correct answers.

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Daily problems were designed and delivered using QualtricsTM survey software Before solving the problem, they rated their confidence.

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If they got the daily KiSS problem right, they selected a charity Right or wrong, they could choose to see the solution or finish

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PARTICIPATION

Amounts and Patterns

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How many ASU students participated?

269 students signed up and 213 did at least one problem

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No problems 4% 1 – 5 problems 24% 6 – 10 problems 13% 11 – 15 problems 9% 16 – 20 problems 17% 21 – 25 problems 32%

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When did the “one shot” students participate?

…at the start of the KiSS program

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When and how did the “give it a try” students participate?

…mostly during the first week of the KiSS program

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When and how did the “half in” students participate?

…large clusters of days throughout the KiSS program

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CONFIDENCE AND ACCURACY

Level of difficulty

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How did they do?

Students found some of these fundamental problems difficult. 21

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Who looked at the solutions?

Almost all after getting it wrong and 30% after it right.

Show me

Show me

No thanks

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• Well received
• Cost-effective
• Informative
• Adaptive

KiSS Program Highlights

What did we learn?

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5/4/20 13 … EVEN DURING BREAKS FROM SCHOOL

K SS

Carla van de Sande Associate Professor of Mathematics Education Arizona State University carla.vandesande@asu.edu

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