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Direct linkRumbelow, Michael – For the Learning of Mathematics, 2021
"Where Mathematics Comes From" (Lakoff & Núñez 2000) proposed that mathematical concepts such as arithmetic and counting are constructed cognitively from embodied metaphors of actions on physical objects, and four actions, or 'grounding metaphors' in particular: collecting, stepping, constructing and measuring. This article argues…
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Concepts, Figurative Language
Xu, Chang; LeFevre, Jo-Anne; Skwarchuk, Sheri-Lynn; Di Lonardo Burr, Sabrina; Lafay, Anne; Wylie, Judith; Osana, Helena P.; Douglas, Heather; Maloney, Erin A.; Simms, Victoria – Developmental Psychology, 2021
In the present research, we provide empirical evidence for the process of symbolic integration of number associations, focusing on the development of simple addition (e.g., 5 + 3 = 8), subtraction (e.g., 5 - 3 = 2), and multiplication (e.g., 5 × 3 = 15). Canadian children were assessed twice, in Grade 2 and Grade 3 (N = 244; 55% girls). All…
Descriptors: Foreign Countries, Arithmetic, Mathematics Skills, Age Differences
Download full textLischka, Alyson E., Ed.; Dyer, Elizabeth B., Ed.; Jones, Ryan Seth, Ed.; Lovett, Jennifer N., Ed.; Strayer, Jeremy, Ed.; Drown, Samantha, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
These proceedings are a written record of the research presented at the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Nashville, Tennessee, and virtually. This year's conference theme is "Critical Dissonance and Resonant Harmony." The aim of this…
Descriptors: Educational Psychology, Mathematics Education, Conferences (Gatherings), Conference Papers
Hodges, Thomas E., Ed.; Roy, George J., Ed.; Tyminski, Andrew M., Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
These Proceedings are a written record of the research presented at the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Greenville, South Carolina, November 15-18, 2018. The theme of the conference is "Looking Back, Looking Ahead: Celebrating 40…
Descriptors: Mathematics Education, Algebra, Number Concepts, Geometry
Galindo, Enrique, Ed.; Newton, Jill, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
The theme of the 39th proceedings of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) conference was "Synergy at the Crossroads: Future Directions for Theory, Research, and Practice." The metaphor of crossroads was inspired by the conference venue--the historic Indianapolis Union…
Descriptors: Conference Papers, Mathematics Education, Psychology, Interdisciplinary Approach
Martinez, Mara V., Ed.; Superfine, Alison Castro, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
These Proceedings are a written record of the research presented at the 35th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2013) held in Chicago, Illinois, November 14-17, 2013. The theme of the conference is Broadening Perspectives on Mathematics Thinking and Learning.…
Descriptors: Mathematics Education, Mathematics Curriculum, Algebra, Number Concepts
Nesbit, Mary Y.; and others – Instr, 1969
Descriptors: Elementary Education, Geometry, Learning Processes, Mathematics Instruction
Van Wagenen, R. Keith – 1973
A group of 161 kindergarten and first grade children were instructed in mathematics using exercises in linear measurement to increase understanding of unit-quantity relations. A comparison group made up from two adjacent and comparable middle-class schools was taught mathematics without intervention into the mathematics content. Treatment and…
Descriptors: Concept Formation, Conservation (Concept), Kindergarten Children, Learning Processes
Peer reviewedYoung Children, 2003
This article presents a chart to illustrate learning paths for children ages 3 to 6 years and sample teaching strategies in the following areas: (1) number and operations; (2) geometry and spatial sense; (3) measurement; (4) pattern/algebraic thinking; and (5) displaying and analyzing data. (KB)
Descriptors: Classroom Techniques, Data Analysis, Educational Practices, Geometry
PDF pending restorationZimmermann, Bernd – 1980
A three-dimensional classification system of mathematical problems is given. A background philosophy is constructed through an analysis of different approaches to problem-solving research, leading to the statement of 5 theses and the objectives for the study. An exploratory study of mathematical problem-solving processes is conducted within this…
Descriptors: Cognitive Development, Cognitive Processes, College Mathematics, Geometric Concepts
