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Analyzing Unexpected Data after a Novel Mathematics Lesson Using the Critical Friend Process
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Bismarck, Stephen F.; Prosser, Sherri K. – Educational Research Quarterly, 2023
Providing all students with equitable treatment and access has been a cornerstone of mathematics education reform (Association of Mathematics Teacher Educators, 2015; National Council of Teachers of Mathematics, 2014). Studies in mathematics classrooms show that using hands-on and interactive materials (i.e., "manipulatives") support…
Descriptors: High School Students, Secondary School Mathematics, Mathematics Instruction, Teaching Methods
Considerations for Using Virtual Manipulatives & an Explicit Instruction Format in a Virtual Learning Environment
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Scott Dueker; Vanessa Desai – Thresholds in Education, 2022
Providing effective mathematics instruction to learners with disabilities is challenging enough in a classroom. Providing the same level of high quality instruction can be more difficult in an online environment. This article describes an effective use of virtual tools for mathematics that can both engage students and provide the supports they…
Descriptors: Mathematics Instruction, Electronic Learning, Students with Disabilities, Teaching Methods
Primary School Children's Counting and Number Composition Processes from Two Pilot Studies in Urban Schools in Zambia
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Nakawa, Nagisa; Kusaka, Satoshi; Kosaka, Masato; Watanabe, Koji; Baba, Takuya – African Journal of Research in Mathematics, Science and Technology Education, 2020
One of the biggest challenges for primary school children is moving beyond the use of counting in calculation. The purpose of this study was to investigate how Zambian Grade 1 to Grade 4 children at primary school see a group of 10 as an effective pattern and structure with the given concrete material. The study consisted of three phases…
Descriptors: Numeracy, Foreign Countries, Elementary School Students, Computation
Recombinant Enaction: Manipulatives Generate New Procedures in the Imagination, by Extending and Recombining Action Spaces
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Rahaman, Jeenath; Agrawal, Harshit; Srivastava, Nisheeth; Chandrasekharan, Sanjay – Cognitive Science, 2018
Manipulation of physical models such as tangrams and tiles is a popular approach to teaching early mathematics concepts. This pedagogical approach is extended by new computational media, where mathematical entities such as equations and vectors can be virtually manipulated. The cognitive and neural mechanisms supporting such manipulation-based…
Descriptors: Mathematics Instruction, Problem Solving, Manipulative Materials, Object Manipulation
Peer Tutoring with Mathematics Manipulatives: A Practical Guide.
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Barone, Michelle M.; Taylor, Lyn – Teaching Children Mathematics, 1996
Presents two primary-level peer tutoring field studies and suggests ways to implement peer tutoring in a classroom. Lesson planning, students' journal writing, manipulative activities, and students' responses are discussed. Among the benefits of peer tutoring are enhanced self-esteem, enhanced sense of responsibility, improvement of skills,…
Descriptors: Elementary Education, Mathematics Instruction, Object Manipulation, Peer Teaching
Developmental Mathematics and the Young Child: A Piaget Rationale.
Yawkey, Thomas Daniels – 1975
This article discusses the challenge mathematics educators face in deciding what and how mathematics is to be taught, and offers some suggestions for teachers of young children based on Piaget's developmental theory of mathematics. Piaget's cognitive stages are briefly described and the concrete stage, which spans the age range included in early…
Descriptors: Arithmetic, Classification, Cognitive Processes, Developmental Stages