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Jaehong Shin; Soo Jin Lee – Investigations in Mathematics Learning, 2024
In the present study, we illuminate students' multiplicative reasoning in the context of their units-coordinating activity. Of particular interest is to investigate students' use of three levels of units as given material for problem-solving activity, which we regard as supporting a more advanced level of multiplicative reasoning. Among 13 middle…
Descriptors: Mathematics Instruction, Multiplication, Middle School Students, Mathematical Logic
Brandon McMillan – Investigations in Mathematics Learning, 2025
Mathematical coherence is a goal within the Common Core State Standards for Mathematics. One aspect of this coherence is how student mathematical thinking is developed across concepts. Unfortunately, mathematics is often taught as isolated ideas across grades. The multiplicative field is an area of study that needs to be examined as a space to…
Descriptors: Mathematics Skills, Thinking Skills, Mathematical Logic, Multiplication
Nicholas F. Shaver – ProQuest LLC, 2023
Students in developmental math classes have been documented to struggle with arithmetic. This dissertation research was a response to the calls in the literature to qualitatively understand what students are learning in a classroom. Number sequences have been well researched to document the connection of student understanding of math in elementary…
Descriptors: Community College Students, Open Enrollment, Developmental Studies Programs, Remedial Mathematics
Kling, Gina – ProQuest LLC, 2023
The learning of basic facts, or the sums and products of numbers 0-10 and their related differences and quotients, has always been a high priority for elementary school teachers. While memorization of basic facts has been a hallmark of elementary school, current recommendations focus on a more nuanced development of fluency with these facts.…
Descriptors: Visual Aids, Multiplication, Elementary School Teachers, Mathematical Concepts
Sarah Lord – ProQuest LLC, 2023
The algorithm for fraction multiplication is relatively easy to memorize and implement with accuracy. The simplicity of the algorithm masks the conceptual complexity involved in making sense of what fraction multiplication means in quantitative situations. One important interpretation of fraction multiplication involves fraction composition,…
Descriptors: Fractions, Multiplication, Mathematical Concepts, Learning Processes
Finesilver, Carla – Educational Studies in Mathematics, 2022
Visuospatial representations of numbers and their relationships are widely used in mathematics education. These include drawn images, models constructed with concrete manipulatives, enactive/embodied forms, computer graphics, and more. This paper addresses the analytical limitations and ethical implications of methodologies that use broad…
Descriptors: Spatial Ability, Mathematics Education, Learning Strategies, Multiplication
Alicia Bruno; Irene Polo-Blanco; Steven Van Vaerenbergh; Raúl Fernández-Cobos; María José González-López – ZDM: Mathematics Education, 2024
This study examines the multiplicative problem-solving strategies used by a 14-year-old student with autism spectrum disorder and intellectual disabilities during an instructional process based on the Conceptual Model-based Problem Solving (COMPS) approach. The instruction aimed to enhance conceptual comprehension of problem-solving by the use of…
Descriptors: Multiplication, Problem Solving, Case Studies, Autism Spectrum Disorders
Zwanch, Karen; Wilkins, Jesse L. M. – Educational Studies in Mathematics, 2021
Constructing multiplicative reasoning is critical for students' learning of mathematics, particularly throughout the middle grades and beyond. Tzur, Xin, Si, Kenney, and Guebert [American Educational Research Association, ERIC No. ED510991, (2010)] conclude that an assimilatory composite unit is a conceptual spring to multiplicative reasoning.…
Descriptors: Middle School Students, Mathematics Skills, Logical Thinking, Problem Solving
Guez, Ava; Piazza, Manuela; Pinheiro-Chagas, Pedro; Peyre, Hugo; Heude, Barbara; Ramus, Franck – Developmental Science, 2023
A converging body of evidence from neuroimaging, behavioral, and neuropsychology studies suggests that different arithmetic operations rely on distinct neuro-cognitive processes: while addition and subtraction may rely more on visuospatial reasoning, multiplication would depend more on verbal abilities. In this paper, we tested this hypothesis in…
Descriptors: Language Skills, Spatial Ability, Preschool Children, Prediction
Pickering, Jayne; Adelman, James S.; Inglis, Matthew – Journal of Numerical Cognition, 2023
Previous research suggests that the Approximate Number System (ANS) allows people to approximate the cardinality of a set. This ability to discern numerical quantities may explain how meaning becomes associated with number symbols. However, recently it has been argued that ANS representations are not directly numerical, but rather are formed by…
Descriptors: Number Concepts, Multiplication, Symbols (Mathematics), Mathematics Skills
Langner, Paula Mediterraneo – ProQuest LLC, 2023
The subject of this study is to investigate if, and to what extent the performance of third-grade students' multiplication fact proficiency differs in a hybrid learning setting as compared to in-person instruction. These differences were questioned by researching if there was a change in student proficiency due to the instructional modality, if…
Descriptors: Teaching Methods, Instructional Effectiveness, Multiplication, Grade 3
Grabner, Roland H.; Brunner, Clemens; Lorenz, Valerie; Vogel, Stephan E.; De Smedt, Bert – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
There is broad consensus on the assumption that adults solve single-digit multiplication problems almost exclusively by fact retrieval from memory. In contrast, there has been a long-standing debate on the cognitive processes involved in solving single-digit addition problems. This debate has evolved around two theoretical accounts. Proponents of…
Descriptors: Cognitive Processes, Addition, Computation, Arithmetic
Foster, Colin – For the Learning of Mathematics, 2022
In this article, I argue that the common practice across many school mathematics curricula of using a variety of different representations of number may diminish the coherence of mathematics for students. Instead, I advocate prioritising a single representation of number (the number line) and applying this repeatedly across diverse content areas.…
Descriptors: Mathematics Instruction, Mathematics Curriculum, Numbers, Multiplication
Russo, Toby; Russo, James – Australian Primary Mathematics Classroom, 2022
This article provides a task that can be used effectively for exploring arrays in middle and upper primary schools, and the notion of prime and composite numbers in particular. As students are engaging in these activities, teachers can encourage them to record their arrays both diagrammatically and as number sentences.
Descriptors: Mathematics Activities, Multiplication, Visual Aids, Middle School Students
Bingqian Wei – ProQuest LLC, 2022
Through a constructivist lens, this dissertation research (a case study) examines the problem of how elementary teachers' MKT might be related to their ways of implementing and adapting mathematical tasks to promote students' construction of multiplicative reasoning. In particular, this study addresses the following four research questions: 1.…
Descriptors: Elementary School Teachers, Mathematics Teachers, Mathematics Instruction, Knowledge Base for Teaching