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Esther S. Levenson; Ruthi Barkai; Anas Mahamid; Sigal Levy – Educational Studies in Mathematics, 2024
This study examines the solutions of 34 kindergarten children as they create equal groups from n bottle caps, where n was equal to 8, 9, 22, and 23. For each n, children were asked to find as many different solutions as possible. The number of solutions they found, i.e., children's fluency, as well as the strategies used to create equal groups,…
Descriptors: Elementary School Mathematics, Kindergarten, Creativity, Mathematical Concepts
Ian Thomas Carle – ProQuest LLC, 2023
The purpose of this mixed methods study was to investigate the implementation of a researcher-created numberless word problem instructional unit designed to introduce second-grade students to word problems in the semantic category of "compare with the word more, smaller unknown." The 10-day instructional unit incorporated three elements:…
Descriptors: Word Problems (Mathematics), Numbers, Grade 2, Elementary School Mathematics
Cramer, Kathleen; Monson, Debra; Ahrendt, Susan; Wyberg, Terry; Pettis, Christy; Fagerlund, Chelsey – Investigations in Mathematics Learning, 2019
This paper shares how fourth grade students solved a unique type of number line task. Instead of giving students the unit and asking them to locate a fraction on the number line, students were given two points on the number line and asked to either find 1, or another number on the number line. This type of task is called "reconstructing the…
Descriptors: Grade 4, Fractions, Numbers, Elementary School Mathematics
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
Sianturi, Iwan Andi Jonri; Ismail, Zaleha; Yang, Der-Ching – School Science and Mathematics, 2021
The purpose of this study is to compare the differences of four essential aspects (i.e., representational forms, contextual features, cognitive demand levels, and response types) embedded in mathematical problems within the topics of numbers and operations in mathematics textbooks used in Finland, Indonesia, Malaysia, Singapore, and Taiwan. This…
Descriptors: Mathematics Instruction, Problem Solving, Numbers, Arithmetic
Jacobson, Erik; Liu, Jinqing; Bharaj, Pavneet Kaur; Savich, Theodore – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
There have been many efforts to measure pedagogical content knowledge with multiple-choice survey instruments, but little is known about how different types of items contribute. In this study, we examined interviews with 9 Grade 4 teachers to develop a deeper understanding of how teachers select pedagogical representations in the context of a…
Descriptors: Pedagogical Content Knowledge, Elementary School Mathematics, Elementary School Teachers, Grade 4
Suwarto Suwarto; Isti Hidayah; Rochmad Rochmad; Masrukan Masrukan – Cogent Education, 2023
The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…
Descriptors: Mathematics, Numbers, Geometry, Algebra
Bofferding, Laura; Aqazade, Mahtob – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
Drawing on research around the utility of worked examples, we examine how 29 first- and 27 third-grade students made sense of integer subtraction worked examples and used those examples to solve similar problems. Students first chose which of three worked examples correctly represented an integer subtraction problem and used the example to solve a…
Descriptors: Grade 1, Grade 3, Elementary School Students, Elementary School Mathematics
Can, Derya; Yetkin Özdemir, I. Elif – International Journal of Science and Mathematics Education, 2020
Research on number sense presents contradictory arguments and results regarding the effects of context-based tasks and activities on students' number sense. The aim of this study was to examine fourth-grade elementary school students' number sense as they solve context-based (CB) and non-context-based (NCB) items. A survey design was employed and…
Descriptors: Elementary School Students, Grade 4, Numeracy, Number Concepts
Simon Byeonguk Han; Eva Thanheiser – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Due to the sudden and unexpected move to remote learning in 2020 influenced by COVID-19, both mathematics teacher educators (MTEs) and prospective elementary teachers (PTs) faced a new challenge in creating a productive remote teaching and learning environment. In this study, we used Parrish's (2014) addition strategies and Thanheiser's (2009)…
Descriptors: Mathematics Teachers, Preservice Teachers, Preservice Teacher Education, Online Courses
Cimen, Emre Ev; Kartal, Emine – Acta Didactica Napocensia, 2021
The purpose of this research is to examine fourth grade students' ability to solve mathematical problems which have the same solutions but are given in three different formats as "symbolic, numerical and story (word) problem" and which require four operations. Within this frame, the students' solutions in different formats, their…
Descriptors: Grade 4, Elementary School Students, Elementary School Mathematics, Mathematics Instruction
Yang, Der-Ching – International Journal of Science and Mathematics Education, 2019
This study investigated the performance of 790 fourth graders from Taiwan for judging the reasonableness of a computational result by using corresponding methods pertaining to whole numbers. A number-sense web-based two-tier diagnostic test was used to assess the number-sense performance of the fourth graders who participated in this study. The…
Descriptors: Grade 4, Elementary School Students, Mathematics Instruction, Mathematical Concepts
Brown, Jill Patricia; Stillman, Gloria Ann – International Journal of Mathematical Education in Science and Technology, 2017
A study conducted with 25 Year 6 primary school students investigated the potential for a short classroom intervention to begin the development of a "Modelling" conception of mathematics on the way to developing a sense of mathematics as a way of thinking about life. The study documents the developmental roots of the cognitive activity,…
Descriptors: Mathematical Models, Foreign Countries, Mathematical Concepts, Mathematics
McCormick, Kelly K.; Essex, N. Kathryn – Teaching Children Mathematics, 2017
This article reports on a study in which researchers asked children to "make up as story and a picture about marbles for this number sentence: 3 x 5 = 15." Students in this study came from pre - dominantly low- to average-income families living in three distinct geographical areas within the United States. A similar division task was…
Descriptors: Mathematics Instruction, Multiplication, Arithmetic, Elementary School Students