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Tirpáková, Anna; Gonda, Dalibor; Wiegerová, Adriana; Navrátilová, Hana – Educational Studies in Mathematics, 2023
The presented article is dedicated to a new way of teaching substitution in algebra. In order to effectively master the subject matter, it is necessary for students to perceive the equal sign equivalently, to learn to manipulate expressions as objects, and to perceive and use transformations based on defining their own equivalences. According to…
Descriptors: Mathematics Instruction, Teaching Methods, Instructional Innovation, Mathematical Concepts
Graven, Mellony; Venkat, Hamsa – Mathematics Education Research Journal, 2021
In this paper, we share the results of the piloting of national diagnostic assessments for strategic calculation with Grade 3 learners in South Africa. The diagnostic assessment pilot intervention was focused on promoting strategic use of calculation strategies and aimed to move learners on from the concrete one-to-one counting methods that…
Descriptors: Foreign Countries, Diagnostic Tests, Computation, Grade 3
Martín Díaz, Ana; Alario-Hoyos, Carlos; Estévez-Ayres, Iria; Delgado Kloos, Carlos; Fernández-Panadero, Carmen – Education and Information Technologies, 2023
ABN (Abierto Basado en Números--Open Calculation Based on Numbers) is a method for teaching basic arithmetic operations in primary education that has become popular in recent years and that is based on the decomposition of numbers through manipulative materials that encourage mental calculation. Currently there is limited number of tools that can…
Descriptors: Mathematics Instruction, Teaching Methods, Arithmetic, Elementary School Mathematics
Nurgul Butuner; Jale Ipek – European Journal of Educational Sciences, 2023
This study used the RBC+C model to reveal the abstractions of the 6th-grade students in the process of transition to the parallelogram area formula. Also, constructing parallelogram area information was employed as a teaching experiment based on the basic interpretive approach, one of the qualitative research methods. The study participants…
Descriptors: Grade 6, Mathematical Concepts, Mathematical Formulas, Mathematics Activities
Rich, Kathryn M. – Digital Experiences in Mathematics Education, 2023
Incorporating visual representations, rather than strictly relying on symbolic representations, is a research-based strategy for supporting fraction learning. However, students must also make transitions between visual and symbolic fraction representations to apply the conceptual understanding they gained from visual representations to symbolic…
Descriptors: Elementary School Teachers, Elementary School Mathematics, Mathematics Instruction, Teaching Methods
Sayin, Volkan; Sahin, Ömer – Educational Research Quarterly, 2021
This research aimed to examine whether the activities related to mental computation strategies had any effect on the development of the second-grade elementary school students' problem-solving (PS) skills. Participants of the study are comprised of 14 children aged 7-8 years and enrolled in the second grade of the elementary school of a village.…
Descriptors: Grade 2, Elementary School Students, Problem Solving, Mental Computation
Bishop, Jessica Pierson; Lamb, Lisa L.; Whitacre, Ian; Philipp, Randolph A.; Schappelle, Bonnie P. – Mathematics Teacher: Learning and Teaching PK-12, 2022
In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…
Descriptors: Thinking Skills, Problem Solving, Mathematics Instruction, Logical Thinking
Al Farra, Nabil Kamal; Al Owais, Najla Sultan; Belbase, Shashidhar – Mathematics Teaching Research Journal, 2022
The purpose of this study was to analyze the problem-solving techniques that students in a fifth-grade classroom applied while solving mathematical word problems. Fifth-grade students in a private school with Ministry of Education curricula in Al Ain, Abu Dhabi, were given a set of 15-word problems to solve with detailed justifications. The…
Descriptors: Foreign Countries, Mathematics Instruction, Problem Solving, Word Problems (Mathematics)
Grant, Theresa J.; Levin, Mariana – Mathematics Teacher Educator, 2020
One of the challenges of teaching content courses for prospective elementary teachers (PTs) is engaging PTs in deepening their conceptual understanding of mathematics they feel they already know (Thanheiser, Philipp, Fasteen, Strand, & Mills, 2013). We introduce the Diverge then Converge strategy for orchestrating mathematical discussions that…
Descriptors: Preservice Teacher Education, Preservice Teachers, Mathematics Teachers, Mathematics Instruction
Nurnberger-Haag, Julie; Kratky, Joseph; Karpinski, Aryn C. – International Electronic Journal of Mathematics Education, 2022
Skills and understanding of operations with negative numbers, which are typically taught in middle school, are crucial aspects of numerical competence necessary for all subsequent mathematics. To more swiftly and coherently develop the field's understanding of how to foster this critical competence, we need shared measures that allow us to compare…
Descriptors: Numbers, Number Concepts, Middle School Students, Secondary School Mathematics
Lockwood, Elise; Wasserman, Nicholas H.; McGuffey, William – International Journal of Research in Undergraduate Mathematics Education, 2018
In this paper we report on a survey designed to test whether or not students differentiated between two different types of problems involving combinations--problems in which combinations are used to count unordered sets of distinct objects (a natural, common way to use combinations), and problems in which combinations are used to count ordered…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Instruction, Mathematics Skills
Paliwal, Veena – Current Issues in Middle Level Education, 2018
Manipulatives have been found to be effective in increasing mathematics achievement when they are put to good use (Canny, 1984; Clements & Battista, 1990; Clements, 1999; Sowell, 1989; Suydam, 1984), but their use in mathematics instruction is not clear and it is often debated to be effective (Ball, 1992; McNeil & Jarvin, 2007). The…
Descriptors: Manipulative Materials, Preservice Teachers, Pedagogical Content Knowledge, Comprehension
The Measurement and Meaning of Landmarks: Integrating Social Studies and Math in Fifth Grade Lessons
Widdall, Valerie; Alqahtani, Muteb; Kraly, Thomas – Social Studies and the Young Learner, 2018
In many elementary classrooms nationwide, less and less time is spent on social studies. Lack of attention to social studies is evident in states like New York where teacher evaluations are contingent on students' performance on two subjects: English Language Arts (ELA) and mathematics. In this article, the authors describe their experience…
Descriptors: Social Studies, Mathematics Instruction, Grade 5, Elementary School Teachers
Mix, Kelly S.; Smith, Linda B.; Stockton, Jerri DaSha; Cheng, Yi-Ling; Barterian, Justin A. – Journal of Cognition and Development, 2017
Two experiments examined whether concrete models support place value learning. In Experiment 1 (N = 149), 7-year-olds were trained with either a) symbols alone or b) symbols and base-10 blocks. Children in both groups showed significant growth overall, but there were specific effects favoring one training type over another. Symbols-only training…
Descriptors: Symbols (Mathematics), Models, Number Concepts, Mathematics Instruction
Stotz, Megan; Columba, Lynn – Journal of Interactive Learning Research, 2018
This study evaluated a classroom implementation of augmented reality (AR) for improving subitizing skills of preschool students. Children explored the mathematical concept of subitizing by using an AR enhanced board game, called "Creature Counting." The AR markers, which were friendly creatures, triggered the augmented reality functions.…
Descriptors: Child Care Centers, Preschool Children, Early Childhood Education, Kindergarten