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Direct linkTsamir, Pessia; Tirosh, Dina – Educational Studies in Mathematics, 2023
This paper reports on concept images of 38 secondary school mathematics prospective teachers, regarding the evenness of numbers. Written assignments, individual interviews, and lesson transcripts uncover salient, erroneous concept images of even numbers as numbers that are two times "something" (i.e., "2i" is an even number),…
Descriptors: Secondary School Mathematics, Secondary School Teachers, Mathematics Teachers, Preservice Teachers
Powell, Sarah R.; Nelson, Gena – Psychology in the Schools, 2021
To understand misconceptions with rational numbers (i.e., fractions, decimals, and percentages), we administered an assessment of rational numbers to 331 undergraduate students from a 4-year university. The assessment included 41 items categorized as measuring foundational understanding, calculations, or word problems. We coded each student's…
Descriptors: Undergraduate Students, Misconceptions, Number Concepts, Numbers
Download full textJuter, Kristina – Mathematics Teacher Education and Development, 2022
A study of pre-service primary school teachers' content knowledge regarding real numbers related to infinity, i.e., division by zero and denseness of the real number line, was conducted at a Swedish university. Data were collected twice during the respondents' teacher education using questionnaires and interviews on both occasions. The data were…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Teachers, Pedagogical Content Knowledge
Li, Xia – Early Education and Development, 2021
Research Findings: The aim of this study was to investigate U.S. preschool teachers' math teaching knowledge in a specific content domain: counting and numbers. One hundred in-service and pre-service teachers participated in the study; they completed a questionnaire that is composed of learning scenarios and scenario-based math teaching questions.…
Descriptors: Preschool Teachers, Preservice Teachers, Graduate Students, Undergraduate Students
Landy, David; Brookes, David; Smout, Ryan – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2014
Formal algebras are among the most powerful and general mechanisms for expressing quantitative relational statements; yet, even university engineering students, who are relatively proficient with algebraic manipulation, struggle with and often fail to correctly deploy basic aspects of algebraic notation (Clement, 1982). In the cognitive tradition,…
Descriptors: Experimental Psychology, Algebra, Number Concepts, Equations (Mathematics)
Olson, Jo Clay; Cangelosi, Richard; Madrid, Silvia; Cooper, Sandra; Hartter, Beverly – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
The goal of this study was to understand errors that student make when simplifying exponential expressions. College students enrolled in four college mathematics courses were asked to simplify and compare such expressions. Quantitative analysis identified three persistent errors: interpreting negative bases, negative exponents, and parentheses.…
Descriptors: College Students, College Mathematics, Mathematics Skills, Error Patterns
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction
