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Heather Lynn Johnson; Courtney Donovan; Robert Knurek; Kristin A. Whitmore; Livvia Bechtold – Educational Studies in Mathematics, 2024
Using a mixed methods approach, we explore a relationship between students' graph reasoning and graph selection via a fully online assessment. Our population includes 673 students enrolled in college algebra, an introductory undergraduate mathematics course, across four U.S. postsecondary institutions. The assessment is accessible on computers,…
Descriptors: Models, Graphs, Cognitive Processes, Abstract Reasoning
Kurt VanLehn; Fabio Milner; Chandrani Banerjee; Jon Wetzel – International Journal of Artificial Intelligence in Education, 2024
An algebraic model uses a set of algebraic equations to describe a situation. Constructing such models is a fundamental skill, but many students still lack the skill, even after taking several algebra courses in high school and college. For such students, we developed instruction that taught students to decompose the to-be-modelled situation into…
Descriptors: Algebra, Mathematical Models, Low Achievement, Mathematics Instruction
Kwaku Adu-Gyamfi; Kayla Chandler; Anthony Thompson – School Science and Mathematics, 2025
The challenge posed by algebra story problems creates a significant hurdle for many students, transcending both the mathematical content of the problem and the specific instructional background received. This study offers a distinctive contribution to the existing literature by focusing on the cognitive conditions essential for comprehension in…
Descriptors: Algebra, Mathematics Instruction, Barriers, Cognitive Processes
Lee, Chansoon – Educational Measurement: Issues and Practice, 2022
Appropriate placement into courses at postsecondary institutions is critical for the success of students in terms of retention and graduation rates. To reduce the number of students who are misplaced, using multiple measures in placing students is encouraged. However, in practice most postsecondary schools utilize only a few measures to determine…
Descriptors: Classification, Models, Student Placement, College Students
Gibbs, Antonnette M.; Park, Joo Young – Educational Studies in Mathematics, 2022
From the socio-critical perspective of mathematical modeling, reflexive discussions about the nature, criteria, and consequences of mathematical models are not a natural consequence of modeling in school. This report is part of a larger study focused on stimulating reflexive discussions in practice employing constructivist grounded theory as a…
Descriptors: College Students, College Mathematics, Mathematical Models, Algebra
Alzoebi, Ali Mohammad; Ghunaimat, Mohammad Ali; Alawneh, Esraa Ahmad – Anatolian Journal of Education, 2023
The study aimed to investigate the effect of the flipped classroom strategy based on ADDIE Model on Prince Faisal College students' development of algebraic thinking skills. To achieve the goal of the study, the researchers developed a measure of development of algebraic thinking skills. The study used the quasi-experimental approach with a…
Descriptors: Flipped Classroom, College Students, Algebra, Mathematical Logic
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
Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2023
This article makes a case for introducing moving averages into introductory statistics courses and contemporary modeling/data-based courses in college algebra and precalculus. The authors examine a variety of aspects of moving averages and draw parallels between them and similar topics in calculus, differential equations, and linear algebra. The…
Descriptors: College Mathematics, Introductory Courses, Statistics Education, Algebra
Sandra Barragán; Orlando Aya; Camilo Soto – Mathematics Teaching Research Journal, 2023
Articulated pedagogical and didactic strategies allow improving academic quality and strengthen individual and institutional cognitive processes such as student retention. Mathematical modelling, articulated with complementary actions, contributes to teaching and learning processes within situations that go beyond the classroom since they are…
Descriptors: Mathematical Models, STEM Education, Educational Quality, Algebra
Jungck, John R. – PRIMUS, 2022
Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Learning Modules
Nataly Pincheira; Ángel Alsina – Journal on Mathematics Education, 2024
Research about the optimal methodologies for guiding the training of primary school instructors in the instruction of early algebra remains in the process of determination. This manuscript delineates the methodology involved in developing and validating an assessment tool to evaluate the mathematical acumen of prospective primary educators in the…
Descriptors: Algebra, Mathematics Instruction, Elementary School Teachers, Teaching Methods
Shahbari, Juhaina Awawdeh; Tabach, Michal – Educational Studies in Mathematics, 2020
Mathematical models that are constructed through modeling activities should be appropriate for the situation at hand. In this study, we seek to monitor the modeling routes of different learners as well as their modeling sub-competencies in order to learn how these are related to the semiotic characteristics of the resulting mathematical models.…
Descriptors: Mathematical Models, Semiotics, Preservice Teachers, Mathematics Teachers
Edo, Sri Imelda; Tasik, Wahyuni Fanggi – Mathematics Teaching Research Journal, 2022
Several studies related to mathematics understanding found that many undergraduate students lack some basic knowledge of algebra. They memorized only a few topics, formulas, and algorithms without understanding them conceptually, even though they could manipulate those limited number of points correctly or incorrectly. In comparison, most…
Descriptors: Algebra, Mathematical Concepts, Problem Solving, Word Problems (Mathematics)
Charity N. Watson; Pablo Duran; Adam Castillo; Edgar Fuller; Geoff Potvin; Laird Kramer – International Journal of Mathematical Education in Science and Technology, 2025
College calculus plays an important role in STEM students' degree and career aspirations. One of the key factors considered in assessing a student's ability to be successful in calculus is their proficiency in topics from prior mathematics courses such as algebra and precalculus. This study set out to examine the impact of students' precalculus…
Descriptors: Active Learning, Calculus, Mathematics Instruction, Teaching Methods
Ural, Alattin – Journal of Educational Issues, 2020
The purpose of this research is to classify the mathematical modelling problems produced by pre-service mathematics teachers in terms of the number of variables and to determine the mathematical modelling skills and mathematical skills used in solving the problems in each class. The current study is a qualitative research and the data was analyzed…
Descriptors: Classification, Mathematical Models, Mathematics Teachers, Preservice Teachers