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Flores, Margaret M.; Hinton, Vanessa M.; Shadoan, Laura; Monroe, Callye – Journal of Educational Research, 2023
The current study investigated the effects of the concrete-representational-abstract integrated sequence (CRA-I) for teaching fifth grade students receiving tier two interventions within a multi-tiered system of support (MTSS). The research questions addressed the following: the extent to which students' rational number skills changed as a result…
Descriptors: Mathematics Instruction, Teaching Methods, Number Concepts, Multi Tiered Systems of Support
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Güveli, Hasan; Baki, Adnan; Güveli, Ebru – Education Quarterly Reviews, 2022
This study aims to determine the effect of the cognitive conflict approach on the elimination of misconceptions in square root numbers. For this purpose, this study was conducted with 8th-grade students of a secondary school in a region of Turkey. A three tiered diagnostic test was used to determine the impact of the 5-step cognitive conflict…
Descriptors: Misconceptions, Number Concepts, Mathematics Instruction, Instructional Effectiveness
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Rocío Mínguez-Pardo; Javier Del Olmo-Muñoz; Sergio Tirado-Olivares; José Antonio González-Calero – Journal of Computer Assisted Learning, 2024
Background: The present study delves into the debate surrounding the effectiveness of homework, focusing specifically on the use of online homework in teaching decimal numbers to 5th and 6th grade primary school students. It highlights the challenges students face in representing and identifying decimal numbers, a concept that is often difficult…
Descriptors: Electronic Learning, Homework, Mathematics Instruction, Number Concepts
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Thomas De Vittori – Discover Education, 2022
This paper reports on an experiment involving 108 sixth-grade French students in which the history of Chinese numeration was used in mathematics education. The aim of this study is to evaluate the relevance of using ancient number systems in mathematics education, which is common in French textbooks. In the experiment a pre-test with usual…
Descriptors: Grade 6, Foreign Countries, Mathematics Education, Mathematics Activities
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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
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Braithwaite, David W.; Sprague, Lauren; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
To explain children's difficulties learning fraction arithmetic, Braithwaite et al. (2017) proposed FARRA, a theory of fraction arithmetic implemented as a computational model. The present study tested predictions of the theory in a new domain, decimal arithmetic, and investigated children's use of conceptual knowledge in that domain. Sixth and…
Descriptors: Number Concepts, Numbers, Arithmetic, Fractions
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Barbieri, Christina Areizaga; Booth, Julie L.; Chawla, Kamal – Educational Psychology, 2023
The current study assessed whether adding worked examples with self-explanation prompts focused on making connections between mathematical principles, procedures, and concepts of rational numbers to a curriculum focused on invented strategies improves pre-algebra students' fraction number line acuity, rational number concepts and procedures.…
Descriptors: Fractions, Mathematics Instruction, Teaching Methods, Algebra
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What Works Clearinghouse, 2021
This document includes instructional tips on: (1) Building on students' informal understanding of sharing and proportionality to develop initial fraction concepts; (2) Helping students recognize that fractions are numbers that expand the number system beyond whole numbers, and using number lines to teach this and other fraction concepts; (3)…
Descriptors: Mathematics Instruction, Instructional Effectiveness, Fractions, Elementary School Students
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Durmaz, Burcu; Miçoogullari, Semai – Acta Didactica Napocensia, 2021
The comprehension of the place value concept which is based on the grouping of numbers in accordance with distinct systems is not so easy. One of the sources that may contribute to the comprehension of the place value and making connections with daily life is children's books. The effects of several tools on the comprehension of the place value…
Descriptors: Mathematics Instruction, Grade 5, Concept Formation, Number Concepts
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Oral, Sati Ceylan – Journal of Inquiry Based Activities, 2021
This study aimed to evaluate the effectiveness of the Prime Factors Chart (PFC) as an alternative teaching material, which was developed for teaching the concepts within the "factors and multiples" unit in the middle school mathematics curriculum. Twelve middle school mathematics teachers used the PFC to teach concepts, such as prime…
Descriptors: Teaching Methods, Instructional Effectiveness, Number Concepts, Numbers
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Flores, Margaret M.; Hinton, Vanessa M.; Meyer, Jill M. – Remedial and Special Education, 2020
Understanding related to fraction concepts is a critical prerequisite for advanced study in mathematics such as algebra. Therefore, it is important that elementary students form conceptual and procedural understanding of fractional numbers, allowing for advancement in mathematics. The concrete-representational-abstract (CRA) instructional sequence…
Descriptors: Mathematics Instruction, Number Concepts, Fractions, Elementary School Mathematics
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Suciati; Kartowagiran, Badrun; Munadi, Sudji; Sugiman – International Journal of Instruction, 2019
To understand the concepts or principles in mathematics, children who have a concrete operational stage need physical objects that can bridge abstract concepts in mathematics. This research aims to evaluate the influence of coastal contextual learning media on a child's understanding concept in the material of numbers counting operation. This…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Grade 6
Craig Pournara; Lynn Bowie – South African Journal of Childhood Education, 2023
Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…
Descriptors: Mathematics Education, Knowledge Level, Grade 7, COVID-19
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Kimani, Patrick M.; Olanoff, Dana; Masingila, Joanna O. – Mathematics Teaching in the Middle School, 2016
This article discusses how teaching via problem solving helps enact the Mathematics Teaching Practices and supports students' learning and development of the Standards for Mathematical Practice. This approach involves selecting and implementing mathematical tasks that serve as vehicles for meeting the learning goals for the lesson. For the lesson…
Descriptors: Problem Solving, Mathematics Instruction, Mathematics Activities, Task Analysis
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McDowell, Eric L. – Mathematics Teacher, 2016
By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…
Descriptors: Fractions, Number Systems, Number Concepts, Numbers
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