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Doruk, Muhammet; Doruk, Gül – International Journal of Mathematical Education in Science and Technology, 2022
The aim of this study was to reveal 5th class middle school students' determination skills on the truth value of mathematical propositions about multiplication and division. These skills were evaluated in the context of operation meanings preferred and arguments constructed by the students in the process. The research group consisted of 95…
Descriptors: Mathematical Logic, Mathematics Skills, Evaluative Thinking, Persuasive Discourse
Lei Bao; Max Stephens – Mathematics Education Research Group of Australasia, 2024
Research has shown that many primary students experience transition barriers between additive and multiplicative thinking. This paper analysed responses from 253 Years 3 to 6 students to a diagnostic assessment which consists of whole number multiplication and division problems involving equal groups, arrays, multiplicative comparison and…
Descriptors: Foreign Countries, Elementary School Mathematics, Elementary School Students, Mathematics Instruction
Sebastian Gross; Corinna Hankeln; Kim-Alexandra Rösike; Susanne Prediger – Technology, Knowledge and Learning, 2025
Digital formative assessment tools have been identified as a promising support for mathematics teachers' practices of monitoring and enhancing students' understanding. However, more research is required to align these support affordances better with teachers' practices. In a qualitative expert-novice comparison, we investigated how expert and…
Descriptors: Beginning Teachers, Experienced Teachers, Mathematics Teachers, Formative Evaluation
Cheeseman, Jill; Downton, Ann; Ferguson, Sarah; Roche, Anne – Mathematics Education Research Journal, 2023
Children's multiplicative thinking as the recognition of equal group structures and the enumeration of the composite units was the subject of this research. In this paper, we provide an overview of the Multiplication and Division Investigations project. The results were obtained from a small sample of Australian children (n = 21) in their first…
Descriptors: Foreign Countries, Multiplication, Thinking Skills, Arithmetic
Tracey Hopkins; Judith Mills – set: Research Information for Teachers, 2024
When teaching the multiplicative domain in New Zealand primary schools, teachers tend to spend a greater proportion of time on the meaning and processes of multiplication, to the detriment of a specific focus on understanding the concept of division. When division is taught, it tends to be by reversing the context and turning the division…
Descriptors: Foreign Countries, Division, Multiplication, Mathematics Instruction
Shih, Shu-Chuan; Chang, Chih-Chia; Kuo, Bor-Chen; Huang, Yu-Han – Education and Information Technologies, 2023
A one-on-one dialogue-based mathematics intelligent tutoring system (ITS) for learning multiplication and division of fractions was developed and evaluated in this study. This system could identify students' error types and misconceptions in real-time by using a block-based matching method. The adaptive dialogue-based instruction was supported by…
Descriptors: Mathematics Instruction, Intelligent Tutoring Systems, Multiplication, Division
Güven Akdeniz, Dilsad; Yakici Topbas, Esra Selcen; Argün, Ziya – Journal of Pedagogical Research, 2022
The aim in the current study is to examine the conceptualizations of zero in arithmetic operations among students with learning disabilities (LD) and no learning disabilities (N-LD). The similarities and differences in the understandings of students with LD and N-LD of zero in arithmetical operations will be discussed. The study is a multiple case…
Descriptors: Mathematical Concepts, Arithmetic, Students with Disabilities, Learning Disabilities
Kamberi, Saranda; Latifi, Ismet; Rexhepi, Shpetim; Iseni, Egzona – International Electronic Journal of Mathematics Education, 2022
In this paper, we have tried to clearly explain the meaning of fractions and operations with fractions. Also, we have tried to illustrate with some examples how to apply the rules of operations with fractional numbers, giving different practical techniques through different figures, visualization methods, and concretizing problems. The paper…
Descriptors: Illustrations, Fractions, Mathematics Instruction, Foreign Countries
Booysen, Tammy; Westaway, Lise – Mathematics Education Research Group of Australasia, 2022
Early years mathematics textbooks are support material for teachers and learners as they contain visual representations which communicate and clarify mathematical concepts. In this paper, we report on the types and functions of visual representations of multiplication and division in South African early years mathematics textbooks. There seems to…
Descriptors: Visual Aids, Multiplication, Division, Mathematical Concepts
Thiangtrong, Piyaphat; Chano, Jiraporn; Nithideechaiwarachok, Bussayarat – Journal of Educational Issues, 2022
The Akita approach is the guideline in learning that responds to rapid changes in the 21st century. This research aimed to determine the effectiveness of learning management based on the Akita approach in accordance with the criteria efficiency of 75/75 and to explore the index of effectiveness of learning management pursuant to the Akita…
Descriptors: Teaching Methods, Mathematics Instruction, Multiplication, Division
Erdem, Emrullah – Educational Research Quarterly, 2022
The present study aimed to examine the opinions of in-and preservice middle school mathematics teachers about teaching four operations with integers through "number line" and/or "counters". Participants were 42 middle school mathematics teachers and 51 pre-service mathematics teachers. The data were collected through open-ended…
Descriptors: Middle School Teachers, Mathematics Teachers, Preservice Teachers, Teacher Attitudes
Roche, Anne; Ferguson, Sarah; Cheeseman, Jill; Downton, Ann – Australian Primary Mathematics Classroom, 2020
Multiplication and division are complex constructs for young children to understand. In this article, the authors explore young children's ability to visualise and make groups of objects before they had formally been introduced to multiplication and division. The results provide some valuable insights into students' early understandings of…
Descriptors: Visualization, Multiplication, Division, Young Children
Sahin, Ömer; Danaci, Dönsel – International Journal of Mathematical Education in Science and Technology, 2022
This study aims to investigate the effect of history-of-mathematics activities on the development of mental computation of middle-grade students and to determine the students' views on the history of mathematics. This study was carried out as an action research project. The participants of the study consisted of 19 seventh-grade students studying…
Descriptors: Mathematics Education, History, Mathematics Activities, Middle School Students
Yorulmaz, Alper; Dogan, Midrabi Cihangir – Educational Policy Analysis and Strategic Research, 2022
In the current study, it is aimed to determine the activities that need to be done to eliminate the mistakes made by primary school fourth grade students in multiplication and division operations and to present solution suggestions for eliminating these mistakes. The study employed action research, one of the qualitative research methods. The…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Grade 4
Aleyna Altan; Zehra Taspinar Sener – Online Submission, 2023
This research aimed to develop a valid and reliable test to be used to detect sixth grade students' misconceptions and errors regarding the subject of fractions. A misconception diagnostic test has been developed that includes the concept of fractions, different representations of fractions, ordering and comparing fractions, equivalence of…
Descriptors: Diagnostic Tests, Mathematics Tests, Fractions, Misconceptions