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Lorraine Day; Dianne Siemon; Rosemary Callingham; Rebecca Seah – Research in Mathematics Education, 2024
Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…
Descriptors: Mathematics Instruction, Evidence Based Practice, Multiplication, Mathematical Logic
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Quane, Kate; Brown, Leni – Australian Primary Mathematics Classroom, 2022
Mathematics educators and researchers have advocated for the use of manipulatives to teach mathematics for decades. The purpose of this article is to provide illustrative uses of a readily available manipulative rather than a complete list. From an Australian perspective, Pop-it fidget toys can be used across the mathematics curriculum. This paper…
Descriptors: Mathematics Instruction, Toys, Manipulative Materials, Foreign Countries
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Flores, Margaret M.; Moore, Alexcia J.; Meyer, Jill M. – Psychology in the Schools, 2020
Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…
Descriptors: Elementary School Students, Grade 4, Grade 5, Teaching Methods
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Ding, Meixia; Heffernan, Kayla – International Journal of Mathematical Education in Science and Technology, 2018
This study explores how preservice teachers (PSTs) transfer the intended specialized content knowledge (SCK) to elementary classrooms. Focusing on the case of the associative property of multiplication, we compared three PSTs' SCK during enacted lessons in fourth grade classrooms with their own learning in professional development (PD) settings.…
Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Elementary School Teachers, Multiplication
Schoen, Robert C.; LaVenia, Mark; Tazaz, Amanda M. – Online Submission, 2018
Mathematics teacher professional-development (PD) programs based on Cognitively Guided Instruction (CGI) have been developed and implemented with tens of thousands of elementary mathematics teachers worldwide since the 1980s. Starting with a focus on addition and subtraction on whole numbers in the first CGI PD program, the content of these…
Descriptors: Mathematics Teachers, Faculty Development, Grade 3, Grade 4
Grandau, Laura – ProQuest LLC, 2013
This study of fourth-grade students and teachers explores mathematics teaching and learning that focuses on discovering and modeling algebraic relationships. The study has two parts: an investigation of how students learn to construct algebraic statements and models for comparisons and measurement situations in the multiplicative domain, and an…
Descriptors: Elementary School Mathematics, Intermediate Grades, Grade 4, Algebra
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Xin, Yan Ping; Si, Luo; Hord, Casey; Zhang, Dake; Cetinas, Suleyman; Park, Joo Young – Learning Disabilities: A Multidisciplinary Journal, 2012
The study explored the effects of a computer-assisted COnceptual Model-based Problem-Solving (COMPS) program on multiplicative word-problem-solving performance of students with learning disabilities or difficulties. The COMPS program emphasizes mathematical modeling with algebraic expressions of relations. Participants were eight fourth and fifth…
Descriptors: Learning Disabilities, Program Effectiveness, Teaching Methods, Problem Solving
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Tent, Margaret W. – Mathematics Teaching in the Middle School, 2006
This article discusses the role of the commutative, associative, distributive, and identity properties of addition and multiplication in preparing children for future success in algebra. (Contains 3 figures.)
Descriptors: Algebra, Multiplication, Mathematical Concepts, Arithmetic
Pagni, David, Ed. – 1991
The National Science Foundation funded Calculators and Mathematics Project, Los Angeles (CAMP-LA) developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states and identified topics that are not included but should be if…
Descriptors: Addition, Algebra, Arithmetic, Calculators