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Viseu, Floriano; Pires, Ana Luísa; Menezes, Luís; Costa, Ana Maria – International Electronic Journal of Elementary Education, 2021
The use of different registers to represent mathematical concepts enhances understanding. For example, rational numbers can assume pictorial, symbolic and natural language representations and this kind of change improves learning. Based on these assumptions, a teaching experiment for the learning of rational numbers by 2nd grade students was…
Descriptors: Semiotics, Mathematics Instruction, Grade 2, Elementary School Students
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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
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LeFevre, Jo-Anne; Berrigan, Lindsay; Vendetti, Corrie; Kamawar, Deepthi; Bisanz, Jeffrey; Skwarchuk, Sheri-Lynn; Smith-Chant, Brenda L. – Journal of Experimental Child Psychology, 2013
We examined the role of executive attention, which encompasses the common aspects of executive function and executive working memory, in children's acquisition of two aspects of mathematical skill: (a) knowledge of the number system (e.g., place value) and of arithmetic procedures (e.g., multi-digit addition) and (b) arithmetic fluency (i.e.,…
Descriptors: Arithmetic, Number Concepts, Number Systems, Executive Function
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Land, Tonia J.; Drake, Corey – Mathematical Thinking and Learning: An International Journal, 2014
In this study, we examined how curricular resources supported three expert teachers in their enactment of progressions. Using a video-stimulated interview process, we documented the multiple types of progressions identified, described, and enacted by the teachers. Results indicate that the teachers used four different types of…
Descriptors: Educational Practices, Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts
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Champagne, Zachary M.; Schoen, Robert; Riddell, Claire M. – Teaching Children Mathematics, 2014
Early elementary school students are expected to solve twelve distinct types of word problems. A math researcher and two teachers pose a structure for thinking about one problem type that has not been studied as closely as the other eleven. In this article, the authors share some of their discoveries with regard to the variety of…
Descriptors: Elementary School Students, Word Problems (Mathematics), Problem Solving, Teaching Methods
Louis, Everett; Flores, Alfinio; Sophian, Catherine; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2010
How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organized around one big idea and supported by…
Descriptors: Number Systems, Mathematical Concepts, Mathematics Instruction, Pedagogical Content Knowledge
Fuson, Karen; Clements, Douglas; Beckmann, Sybilla – National Council of Teachers of Mathematics, 2010
"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…
Descriptors: Mathematics Curriculum, Mathematical Concepts, Grade 1, Misconceptions