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Katherin Cartwright – Mathematics Education Research Journal, 2024
The exploration of children's drawings as mathematical representations is a current focus in early years mathematics education research. This paper presents a qualitative analysis of 72 kindergarten to Grade 3 (5 to 8 years old) children's drawings produced during problem-solving tasks centred on multiplicative strategies. Existing frameworks for…
Descriptors: Multiplication, Freehand Drawing, Mathematics Instruction, Kindergarten
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Rafael Ramírez; Bárbara M. Brizuela; Maria Blanton – Canadian Journal of Science, Mathematics and Technology Education, 2024
In this article, we present research on eight kindergarten and eight first-grade students' understandings of the arithmetic properties of commutativity, additive identity, and additive inverse during a classroom teaching experiment, selected from a larger study that included 88 students. In this study, we explore the students' types of…
Descriptors: Kindergarten, Young Children, Elementary School Students, Grade 1
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Muthukrishnan, Priyadarshini; Kee, Mong Sze; Sidhu, Gurnam Kaur – International Journal of Instruction, 2019
This study aimed to identify the different types of factual, conceptual and procedural errors among the six-years-old preschool children. The data were collected from 45 children from 3 kindergartens. The children responded to a Math worksheet which had 20 addition problems based on the early numeracy curriculum. The worksheet was validated by two…
Descriptors: Addition, Mathematics Instruction, Error Patterns, Foreign Countries
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Li, Li; Zhou, Xin; Gao, Xuliang; Tu, Dongbo – ZDM: The International Journal on Mathematics Education, 2020
In this study we investigated the development of 245 kindergarteners' mathematics problem solving (MPS) at two time points within 7 months using a cognitive diagnostic test, which measured three cognitive components (mathematical knowledge and skills, semantic understanding, and quantitative reasoning) with eleven cognitive attributes. The effects…
Descriptors: Kindergarten, Mathematics Instruction, Problem Solving, Mathematics Skills
Karp, Karen; Caldwell, Janet; Zbiek, Rose Mary; Bay-Williams, Jennifer – National Council of Teachers of Mathematics, 2011
What is the relationship between addition and subtraction? How do individuals know whether an algorithm will always work? Can they explain why order matters in subtraction but not in addition, or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organized around two big ideas and supported by…
Descriptors: Subtraction, Mathematics Instruction, Addition, Mathematical Concepts
Common Core State Standards Initiative, 2011
For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…
Descriptors: Mathematics Curriculum, Mathematics Education, State Standards, Mathematics Achievement