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William R. Dardick; Jeffrey R. Harring – Journal of Educational and Behavioral Statistics, 2025
Simulation studies are the basic tools of quantitative methodologists used to obtain empirical solutions to statistical problems that may be impossible to derive through direct mathematical computations. The successful execution of many simulation studies relies on the accurate generation of correlated multivariate data that adhere to a particular…
Descriptors: Statistics, Statistics Education, Problem Solving, Multivariate Analysis
Ashraf Alam; Atasi Mohanty – Cogent Education, 2024
This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and institutional perspectives, this study investigates the formidable…
Descriptors: Algebra, Mathematics Instruction, College Mathematics, Teaching Methods
Ümit Karabiyik – Problems of Education in the 21st Century, 2025
Mathematical problem-posing and modeling are essential skills in developing students' analytical thinking and problem-solving abilities. This study aims to examine correlation between 9th-grade students' problem-posing and mathematical modeling skills within the learning domain of numbers and algebra. Additionally, it evaluates students'…
Descriptors: Secondary School Students, Mathematical Concepts, Models, STEM Education
Soneira, Carlos; González-Calero, José Antonio; Arnau, David – Educational Studies in Mathematics, 2023
The use of the algebraic method for solving word problems is a challenging topic for secondary school students. Students' difficulties are usually associated with extracting the problem's network of relationships between quantities and with formalizing these relationships into algebraic language in a problem model. Both sources can coexist and…
Descriptors: Algebra, Word Problems (Mathematics), Problem Solving, Mathematics Instruction
Jahudin, Janet; Siew, Nyet Moi – Problems of Education in the 21st Century, 2023
Algebraic Thinking Skills (ATS) are one of the skills that students need to master in order to solve nonroutine problems. These skills are also necessary as a foundation for students preparing to enter university studies and fields of work that require logical and analytical thinking. However, Malaysian students' performance in solving algebraic…
Descriptors: Algebra, Thinking Skills, Mathematics Skills, Problem Solving
Otten, Mara; Van den Heuvel-Panhuizen, Marja; Veldhuis, Michiel – International Journal of STEM Education, 2019
This paper reports a systematic literature review of the balance model, an often-used aid to teach linear equations. The purpose of the review was to report "why" such a model is used, "what" types of models are used, and "when" they are used. In total, 34 peer-reviewed journal articles were analyzed, resulting in a…
Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Equations (Mathematics)
Candace A. Mulcahy; Joseph C. Gagnon; V. Sue Atkinson; Jason A. Miller – TEACHING Exceptional Children, 2024
In the era of 21st century learning, many secondary students with learning disabilities continue to struggle with mathematics problem solving. Emerging evidence suggests self-regulated strategy development can be combined with existing evidence-based and promising practices during mathematics instruction. These practices include explicit…
Descriptors: Self Management, Algebra, Problem Solving, Secondary School Students
Levin, Mariana – Cognition and Instruction, 2018
This article elaborates a new direction for studying the construction of novel strategies that enables researchers to model the conceptual underpinnings of students' observable strategic actions during episodes of mathematical problem solving. The nature of the relationship between conceptual and procedural knowledge has been persistently debated…
Descriptors: Mathematics Instruction, Problem Solving, Algebra, Word Problems (Mathematics)
Otten, Mara; van den Heuvel-Panhuizen, Marja; Veldhuis, Michiel; Boom, Jan; Heinze, Aiso – Education Sciences, 2020
The balance model is often used for teaching linear equation solving. Little research has investigated the influence of various representations of this model on students' learning outcomes. In this quasi-experimental study, we examined the effects of two learning environments with balance models on primary school students' reasoning related to…
Descriptors: Mathematics Instruction, Teaching Methods, Algebra, Mathematical Logic
Flores, Margaret M.; Moore, Alexcia J.; Meyer, Jill M. – Psychology in the Schools, 2020
Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…
Descriptors: Elementary School Students, Grade 4, Grade 5, Teaching Methods
Rafferty, Anna N.; Jansen, Rachel A.; Griffiths, Thomas L. – Cognitive Science, 2020
Online educational technologies offer opportunities for providing individualized feedback and detailed profiles of students' skills. Yet many technologies for mathematics education assess students based only on the correctness of either their final answers or responses to individual steps. In contrast, examining the choices students make for how…
Descriptors: Computer Assisted Testing, Mathematics Tests, Mathematics Skills, Student Evaluation
Riccomini, Paul J.; Morano, Stephanie – TEACHING Exceptional Children, 2019
Many students with Learning Disabilities (LD) experience low motivation and confidence in algebra as a result of the content challenges and the lack of mathematics success they have experienced previously (Kortering, de Bettencourt, & Braziel, 2005). The combination of multiple content deficits, an ongoing lack of success, and low motivation…
Descriptors: Algebra, Mathematics Instruction, Scaffolding (Teaching Technique), Instructional Design
Letkowski, Jerzy – Journal of Instructional Pedagogies, 2018
Single-period inventory models with uncertain demand are very well known in the business analytics community. Typically, such models are rule-based functions, or sets of functions, of one decision variable (order quantity) and one random variable (demand). In academics, the models are taught selectively and usually not completely. Students are…
Descriptors: Models, Data Analysis, Decision Making, Teaching Methods
King, Barbara – Mathematics Teacher Education and Development, 2019
Many teachers' experiences in problem-based classrooms are limited, therefore, mathematics teacher educators face a significant challenge when trying to inspire in-service teachers (ISTs) to teach through problem solving. To address this challenge, the professor in a mathematics education course designed and implemented an instructional model…
Descriptors: Problem Based Learning, Teaching Methods, Mathematics Instruction, Problem Solving
Kashyap, Upasana; Mathew, Santhosh – Journal of STEM Education: Innovations and Research, 2017
The purpose of this study was to compare students' performances in a freshmen level quantitative reasoning course (QR) under three different instructional models. A cohort of 155 freshmen students was placed in one of the three models: needing a prerequisite course, corequisite (students enroll simultaneously in QR course and a course that…
Descriptors: Models, STEM Education, Statistical Analysis, Comparative Analysis