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Mkhatshwa, Thembinkosi Peter – International Journal of Mathematical Education in Science and Technology, 2023
This paper extends work in the areas of quantitative reasoning and covariational reasoning at the undergraduate level. Task-based interviews were used to examine third-semester calculus students' reasoning about partial derivatives in five tasks, two of which are situated in a mathematics context. The other three tasks are situated in real-world…
Descriptors: Undergraduate Students, Thinking Skills, Abstract Reasoning, Logical Thinking
Cho, Peter; Nagle, Courtney – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This study extends past research on students' understanding of slope by analyzing college students' mistakes on routine tasks involving slope. We conduct quantitative and qualitative analysis of students' mistakes to extract information regarding slope conceptualizations described in prior research. Results delineate procedural proficiencies and…
Descriptors: Task Analysis, College Students, Error Correction, Error Patterns
Hwang, Jiwon; Riccomini, Paul J. – Learning Disabilities Research & Practice, 2016
Requirements for reasoning, explaining, and generalizing mathematical concepts increase as students advance through the educational system; hence, improving overall mathematical proficiency is critical. Mathematical proficiency requires students to interpret quantities and their corresponding relationships during problem-solving tasks as well as…
Descriptors: Problem Solving, Secondary School Students, Learning Disabilities, At Risk Students
Zetriuslita, Hj.; Ariawan, Rezi; Nufus, Hayatun – Journal of Education and Practice, 2016
This research aims to describe students' critical thinking ability based on the level academic and gender. The populations of this study were 132 students participating in five classes of Calculus course. The research data obtained through technical tests and interview techniques. This study found that the high level of capability, both male…
Descriptors: Critical Thinking, Cognitive Ability, Gender Differences, Calculus
Jansen, Amanda; Hohensee, Charles – Journal of Mathematics Teacher Education, 2016
The purpose of this study was to examine and elaborate upon elementary prospective teachers' (PSTs) conceptions of partitive division with fractions. We examined the degree to which PSTs' conceptions were connected (i.e., capable of translating between representations correctly; aware that partitive division generates a unit rate for its quotient)…
Descriptors: Elementary School Mathematics, Preservice Teachers, Preservice Teacher Education, Teacher Education Curriculum
Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla – International Journal for Mathematics Teaching and Learning, 2014
Understanding how students translate between mathematical representations is of both practical and theoretical importance. This study examined students' processes in their generation of symbolic and graphic representations of given polynomial functions. The purpose was to investigate how students perform these translations. The result of the study…
Descriptors: Mathematical Concepts, Cognitive Processes, Student Behavior, Mathematics Education
Howe, Christine; Luthman, Stefanie; Ruthven, Kenneth; Mercer, Neil; Hofmann, Riikka; Ilie, Sonia; Guardia, Paula – Research in Mathematics Education, 2015
Reflecting concerns about student attainment and participation in mathematics and science, the Effecting Principled Improvement in STEM Education ("epiSTEMe") project attempted to support pedagogical advancement in these two disciplines. Using principles identified as effective in the research literature (and combining these in a novel…
Descriptors: Foreign Countries, Mathematical Concepts, Numbers, Secondary School Mathematics
Francisco, John M. – Educational Studies in Mathematics, 2013
The purpose of this study is to contribute insights into how collaborative activity can help promote students' mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students' development of mathematical ideas…
Descriptors: Probability, Mathematics Education, Cooperative Learning, Mathematics
Taylor, Edd V. – Mind, Culture, and Activity, 2013
The purpose of this study was to examine children's mathematical understandings related to participation in tithing (giving 10% of earnings to the church). Observations of church services and events, as well as interviews with parents, children, and church leaders, were analyzed in an effort to capture the ways in which mathematical problem…
Descriptors: Social Environment, Problem Solving, Financial Support, Administrator Attitudes
Lian, Lim Hooi; Yew, Wun Thiam; Idris, Noraini – International Journal for Mathematics Teaching and Learning, 2010
Superitem test based on the SOLO model (Structure of the Observing Learning Outcome) has become a powerful alternative assessment tool for monitoring the growth of students' cognitive ability in solving mathematics problems. This article focused on developing a superitem test to assess students' algebraic solving ability through interview method.…
Descriptors: Alternative Assessment, Mathematics Instruction, Cognitive Ability, Algebra
Yeo, Kai Kow Joseph – International Journal for Mathematics Teaching and Learning, 2009
As part of a study on mathematical problem solving of secondary 2 (13- to 14-years old) students in Singapore, 56 Secondary two students from ten secondary schools participated in this study. The purpose of this paper is to explore difficulties faced by 56 Secondary 2 students when solving problems. These interviews were analysed using the…
Descriptors: Problem Solving, Foreign Countries, Learning Problems, Interviews

Rothbart, Andrea – Mathematics Teacher, 1998
Discusses the process and the usefulness of translating empirical logic puzzles into mathematical problems which may be more easily solved, then translating the answer back into the context of the original problem. Presents nine logic puzzles devised by Lewis Carroll, with answers. (AIM)
Descriptors: Higher Education, Logical Thinking, Mathematical Aptitude, Mathematical Concepts

Zentall, Sydney S.; Ferkis, Mary Ann – Learning Disability Quarterly, 1993
This review of research finds that, when IQ and reading ability are controlled, "true" math deficits of students with learning disabilities, attention deficit disorders, and attention deficit hyperactive disorders (ADHD) are specific to mathematical concepts and problem types. Slow computation affects problem solving by increasing attentional…
Descriptors: Attention Deficit Disorders, Computation, Elementary Secondary Education, Hyperactivity

Berner, Leslie; McLaughlin, Patrick; Verzoni, Kathryn A. – Mathematics Teaching in the Middle School, 1997
Discusses mathematical thinking and problems posed by seventh- grade students as part of a unit on the study of algebraic ideas. The unit involves showing how variables cause changes and also incorporates the solving of systems of equations by constructing line-graph drawings and combination charts. (AIM)
Descriptors: Algebra, Equations (Mathematics), Graphs, Junior High Schools