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Download full textMartin A. Simon – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
In this theoretical paper, I use an empirically based example to illustrate particular design features of the Learning Through Activity (LTA) design framework and examine the impact of particular design principles. The LTA design framework is based on our elaboration of Piaget's construct of reflective abstraction. The example discussed here,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Activities, Instructional Design
Williams-Pierce, Caro; Katirci, Nihal; Simpson, Amber; Shokeen, Ekta; Bih, Janet – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
We offer this synthesized framework as a tool to reveal mathematical activity in a non-formal makerspace. In particular, we connect research at different grain sizes to illustrate and explain how mathematics plays a crucial, if often implicit, role in this activity. We begin with describing the Approximate Number System and the Ratio-Processing…
Descriptors: Mathematics Activities, Numbers, Prediction, Mathematics Instruction
Tyminski, Andrew M.; Wieman, Rob; González, Gloriana; Trocki, Aaron; Johnson, Kim; Perry, Jill; Eli, Jennifer A. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
This working group continues to develop a research program on the practice of launching mathematical tasks and its resulting impact on learners. Our research agenda contains two strands of inquiry exploring (1) theory and framework building concerning effective launches and (2) empirical examination of the link between launching and opportunities…
Descriptors: Educational Research, Mathematics Activities, Problem Solving, Elementary Secondary Education
Williams-Pierce, Caro; Plaxco, David; Reimer, Paul N.; Simpson, Amber; Orrill, Chandra Hawley; Burke, James P.; Sinclair, Nathalie; Guyevskey, Victoria; Ellis, Amy B.; Dogan, Muhammed F. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
Mathematical play has a fairly short history, with strong roots further back in time (e.g., Papert, Montessori), and understanding the role of mathematical play from early childhood to adulthood is, as yet. unmapped. This working group will build on the success of last year's working group and continue to provide a community space to explore and…
Descriptors: Mathematics Instruction, Play, Mathematics Activities, Age Differences
Ottmar, Erin R.; Walkington, Candace; Abrahamson, Dor; Nathan, Mitchell J.; Harrison, Avery; Smith, Carmen – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
Embodied cognition is growing in theoretical importance and as driving a set of design principles for curriculum activities and technology innovations for mathematics education. The central aim of the EMIC (Embodied Mathematical Imagination and Cognition) Working Group is to connect with inspired colleagues in this growing community of discourse…
Descriptors: Mathematics Education, Learning Theories, Cognitive Processes, Educational Research
Lockwood, Elise; Ellis, Amy B.; Dogan, Muhammed F.; Williams, Caroline C.; Knuth, Eric – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
Examples play a critical role in mathematical practice, particularly in the exploration of conjectures and in the subsequent development of proofs. Although proof has been an object of extensive study, the role that examples play in the process of exploring and proving conjectures has not received the same attention. In this paper, we present a…
Descriptors: Models, Mathematics Instruction, Mathematics, Professional Personnel
Simon, Martin A. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
This paper describes a program of research aimed at better understanding mathematics conceptual learning. Rather than studying the products of learning (conceptual steps), it focuses on the process (mechanism) of students' learning -- learning that occurs through their mathematical activity in the context of a sequence of mathematical tasks.…
Descriptors: Mathematics Education, Learning Processes, Mathematics Activities, Mathematical Concepts
