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Roman Chvátal; Jana Slezáková; Stanislav Popelka – Education and Information Technologies, 2024
In the realm of mathematics education, geometry problems assume a pivotal role by fostering abstract thinking, establishing a connection between theory and practice, and offering a tangible portrayal of reality. This study focuses on comprehending problem-solving methodologies by observing the eye movements of 45 primary and multi-year grammar…
Descriptors: Problem Solving, Learning Strategies, Imagination, Geometry
Herman Tshesane; Hamsa Venkat – African Journal of Research in Mathematics, Science and Technology Education, 2023
Evidence in South Africa of poor performance on word problems points to particular challenges among learners relating to difficulties with, on the one hand, making sense of mathematical word problems and, on the other, moving beyond inefficient counting based calculation methods. While many studies in mathematics education in South Africa have…
Descriptors: Foreign Countries, Word Problems (Mathematics), Problem Solving, Mathematics Instruction
Taajah Felder Witherspoon – Journal of Mathematics Education at Teachers College, 2023
The results of this study revealed students' solution strategies progressed from inefficient strategies e.g., counting on fingers to more efficient strategies with mathematical connections. These findings should enable educators to gain more insight to use Number Talks to help student develop computational fluency with numbers.
Descriptors: Mathematics Instruction, Numeracy, Computation, Mathematics Skills
Zhang, Yimei; Savard, Annie – ECNU Review of Education, 2023
Purpose: To analyze mathematics problem-solving (PS) procedures in Chinese (CH) and Canadian (CA) elementary mathematics textbooks that leverage computational thinking (CT) as a cognitive tool, which have evidently existed and been implemented. Design/Approach/Methods: In this study, an analysis framework was developed to investigate the…
Descriptors: Computation, Thinking Skills, Problem Solving, Comparative Education
Ally Patterson; Robin Moyher; Robert Pasnak; Barbara J. Kaminski – Education and Treatment of Children, 2025
As early as first grade, some children are more likely than others to perform arithmetic using inefficient or other overt counting strategies. To partially address this problem, the primary investigator developed a skill hierarchy with procedures based on applied behavior analysis. The novel early-intervention program included a combination of…
Descriptors: Early Intervention, Mathematics Skills, Arithmetic, Applied Behavior Analysis
Ben-Yehuda, Miriam; Sharoni, Varda – Journal of Cognitive Education and Psychology, 2021
The research examined the calculation methods used by pupils in Grades 3-6 when they were presented with problems that could be worked out efficiently and flexibly by applying number sense. The study was conducted with a convenience sample of 179 pupils between the ages 7 years and 10 months to 12 years and 10 months. in mainstream education in…
Descriptors: Numeracy, Number Concepts, Computation, Grade 3
First Graders Coordination of Counting and Movements on a Grid When Programming with Tangible Blocks
Abigail Erskine; Laura Bofferding; Sezai Kocabos; Haoran Tang – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
As elementary students begin to program using tangible blocks, they must coordinate their use of counting with the movements, directions, and numbers they use to move a character. In our study, we analyzed 13 first graders' first attempts at coordinating these elements when playing a programming game on the iPad that used tangible programming…
Descriptors: Elementary School Students, Elementary School Mathematics, Grade 1, Computation
Son, Ji-Won; Hu, Qintong; Lim, Woong – International Journal of Mathematical Education in Science and Technology, 2019
Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…
Descriptors: Computation, Mental Computation, Mathematics Instruction, Preservice Teachers
Jiaxin Cui; Fan Yang; Yuanyi Peng; Saisai Wang; Xinlin Zhou – Infant and Child Development, 2024
Symbolic and situational mathematics are the two major representations of mathematical knowledge. Although previous literature has studied the relationship between the two from the perspective of teaching practice, learning effectiveness and behavioural performance, there is still a lack of empirical psychological research on cognitive mechanisms…
Descriptors: Mathematics Education, Symbols (Mathematics), Learning Processes, Elementary School Mathematics
Robert C. Schoen; Wendy S. Bray; Amanda M. Tazaz; Charity K. Buntin – Grantee Submission, 2022
Cognitively Guided Instruction (CGI) is a teacher PD program that has been found to have a potentially positive impact on student learning in mathematics through randomized controlled trials. Through a series of grant-funded projects led by FSU, approximately 2,000 Florida teachers have participated in CGI-based professional development in the…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Teachers, Faculty Development
Lucenta, Amy; Kelemanik, Grace – Mathematics Teacher: Learning and Teaching PK-12, 2022
Students often look to the standard algorithm, which requires rewriting the task, regrouping tens to create enough ones to subtract, and other opportunities to make errors. However, when the authors apply structural thinking, the resultant strategy is an efficient and elegant shortcut and even brings a positive connotation to the word…
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Computation
If Only Dia; Zetra Hainul Putra; Gustimal Witri; Dahnilsyah; Ayman Aljarrah – Mathematics Teaching Research Journal, 2024
This study aimed to develop a supplementary mathematics textbook on traditional game-based computational thinking for elementary school students. This textbook was developed using a research and development model consisting of five stages: analysis, design, development, implementation, and evaluation (ADDIE). The mathematical contexts of the…
Descriptors: Game Based Learning, Supplementary Reading Materials, Textbooks, Mathematics Education
Kalinec-Craig, Crystal A.; Prasad, Priya V.; Mira, Raquel Vallines; Walls, Carey – Issues in the Undergraduate Mathematics Preparation of School Teachers, 2019
This paper details an exploratory study of 14 elementary prospective teachers (PTs) solving purposefully crafted, two-digit addition problems. The numbers in each problem were chosen to elicit diverse solution strategies. We coded 95 responses based on the ways the PTs completed the calculation (for example, by referring to the number as…
Descriptors: Elementary School Teachers, Preservice Teachers, Addition, Problem Solving
Albarracín, Lluís – Early Childhood Education Journal, 2021
This study presents a teaching experiment in which second-grade primary school students compared a city and a town according to population estimates. The activities were presented to them as Fermi problems and required an analysis of the reality to identify sub-problems that students could deal with. The students' products were analyzed from the…
Descriptors: Grade 2, Elementary School Students, Mathematics Instruction, Mathematical Models
Segura, Carlos; Ferrando, Irene – Education Sciences, 2021
Fermi problems are useful for introducing modelling in primary school classrooms, although teachers' difficulties in problem solving may hinder their successful implementation. These difficulties are associated with the modelling process, but also with the estimation and measurement skills required by Fermi problems. In this work, a specific…
Descriptors: Error Patterns, Problem Solving, Preservice Teachers, Elementary School Teachers