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Oi-Lam Ng – For the Learning of Mathematics, 2025
This essay extends beyond the characteristics and discourse of word problems to, more generally, school mathematical problem-solving and the implications entailed by a predominant paper-and-pencil mode of learning and instruction since the modern era of education. Contrasting what I call "one-handed" (with paper-and-pencil) with…
Descriptors: Thinking Skills, Computation, Problem Solving, Mathematics Education
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Emily C. Bouck; Sarah K. Cox; Larissa Jakubow – Education and Training in Autism and Developmental Disabilities, 2025
Researchers have repeatedly found schematic diagrams, both as part of Modified Schema Based Instruction and outside of this problem-solving approach, effective for teaching students with disabilities, including intellectual and developmental disabilities (IDD), to solve math word problems. The current study was a systematic replication of Bouck,…
Descriptors: Visual Aids, Middle School Students, Mathematics Skills, Daily Living Skills
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Mustafa Serkan Pelen – International Journal of Science and Mathematics Education, 2025
The main purpose of this research is to examine the informal strategies of fifth and sixth grade students while solving inverse proportional word problems. Multiple case study was used in this study. The research was carried out in a public middle school from a southern city of Türkiye. The participants of the research consist of three fifth and…
Descriptors: Algorithms, Word Problems (Mathematics), Problem Solving, Mathematics Instruction
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Ling Zhang; Naiqing Song; Guowei Wu; Jinfa Cai – Educational Studies in Mathematics, 2025
This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…
Descriptors: Cognitive Processes, Mathematics Skills, Problem Solving, Eye Movements
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Demetra Pitta-Pantazi; Maria Chimoni; Constantinos Christou – International Journal of Science and Mathematics Education, 2025
This article reports on an empirical study that investigates the way students' performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved…
Descriptors: Thinking Skills, Arithmetic, Mathematics Instruction, Algebra
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Lóa Björk Jóelsdóttir; Paul Andrews – International Journal of Mathematical Education in Science and Technology, 2025
In this paper we present a novel adaptation of a tri-phase assessment tool, originally devised to investigate students' linear equations-related strategy flexibility, to evaluate Danish grade-six students' multidigit arithmetic-related strategy adaptivity and flexibility. Participants, 731 students, median age 12 years and drawn from 20…
Descriptors: Grade 6, Elementary School Students, Mathematics Instruction, Equations (Mathematics)
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Lóa Björk Jóelsdóttir; Paul Andrews – European Journal of Psychology of Education, 2024
In this paper, the multidigit arithmetic-related strategy adaptivity, strategy flexibility and solution accuracy of Danish compulsory school students is examined. Participants, 749 grade three, 731 grade six and 818 grade eight, were drawn from twenty demographically different schools. Drawing on a tri-phase assessment tool, each student completed…
Descriptors: Foreign Countries, Grade 3, Grade 6, Grade 8
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Mireia Brunet-Biarnes; Lluís Albarracín – Mathematics Education Research Journal, 2024
Previous research has highlighted the importance of social relationships in mathematical group work while working on modelling activities. This study analyses the interaction of sixth-grade students in Primary Education (11 to 12 years old) carrying out a modelling task in groups with a Fermi problem used as the modelling activity. The focus of…
Descriptors: Mathematics Instruction, Elementary School Students, Grade 6, Task Analysis
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Bouck, Emily C.; Long, Holly; Jakubow, Larissa – Preventing School Failure, 2022
Little-to-no research examines the provision of targeted mathematical interventions to students struggling with mathematics in a virtual environment. And yet, the global pandemic of 2020--extending into 2021--found schools in such a scenario. This article reports two studies in which researchers explored the intervention package of explicit…
Descriptors: Teaching Methods, Direct Instruction, Mathematics Instruction, Intervention
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Ng, Oi-Lam; Liu, Minnie; Cui, Zhihao – Journal of Research on Technology in Education, 2023
We report on a case study of eight grade 5 to 6 students (ages 12-14) involved in a three-day "digital-making summer camp" focused on mathematical problem-solving through block-based programming combined with programmable electronics. Data analysis focused on the computational thinking (CT), mathematics, and problem-solving challenges…
Descriptors: Grade 5, Grade 6, Summer Programs, Camps
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Tye Campbell; Haleigh Sears – International Electronic Journal of Mathematics Education, 2024
The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional…
Descriptors: Mathematics Instruction, Elementary School Students, Group Dynamics, Cooperative Learning
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Ahu Canogullari; Ayhan Kursat Erbas – Interactive Learning Environments, 2024
Technological mediums such as dynamic environments with drag-and-drop features have been considered promising agents in helping students explore and generate conjectures about mathematical concepts. This study investigated the dragging modalities sixth and seventh-grade students use in solving proportional problems in a dynamic geometry…
Descriptors: Problem Solving, Interaction, Computer Simulation, Grade 6
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Johanna Schoenherr – British Journal of Educational Psychology, 2024
Background: Real-world problems are important in math instruction, but they do not necessarily trigger students' task motivation. Personalizing real-world problems by (1) matching problems to students' shared living environment (context personalization) and (2) asking students to pose their own problems (active personalization) might be two…
Descriptors: Problem Solving, Personality Traits, Student Motivation, Mathematics Instruction
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Abdullah Terzi; Tugrul Kar – Education 3-13, 2024
The present study aimed to test the effect of the problem-posing instruction experimentally based on the extended active learning framework on the development of Turkish middle school sixth-grade students' (N = 19) problem-posing and -solving skills with whole-number operations. The training programme was completed in 13 lessons over a seven-week…
Descriptors: Foreign Countries, Grade 6, Elementary School Students, Problem Solving
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Pan, Zilong; Liu, Min – Journal of Educational Technology Systems, 2022
This mixed-method study introduced an adaptive scaffolding system to support middle school science problem-based learning (PBL) activities. 298 6th-graders were grouped into three conditions, which are the adaptive scaffolding group, the non-adaptive scaffolding group, and a control group that did not receive any scaffoldings. Results showed that…
Descriptors: Grade 6, Problem Based Learning, Scaffolding (Teaching Technique), Middle School Students
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