Educational Studies in Mathematics
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The construction of abstract units in geometric and numeric settings
Educational Studies in Mathematics - Tập 30 - Trang 67-83 - 1996
The main thesis of this paper is that the construction and coordination of abstract units is central to mathematical activity in both numerical and geometric settings. Data were gathered from students in grade three through six, with four students being observed over a three year period. A consistent parallel was found in the sophistication of the types of units constructed in a geometric setting ...... hiện toàn bộ
Toward a reconceptualization of model development from models-and-modeling perspective in mathematics education
Educational Studies in Mathematics - Tập 109 - Trang 611-638 - 2021
Models-and-modeling perspective (MMP) is a problem-solving and learning perspective in mathematics education. Although modeling processes have been addressed widely in the international discussion on mathematical modeling, a homogeneous understanding has not been established yet. Hence, the field needs studies addressing the epistemological grounds of model development. Therefore, in this study, I...... hiện toàn bộ
Teaching prospective teachers about fractions: historical and pedagogical perspectives
Educational Studies in Mathematics - Tập 82 - Trang 455-479 - 2012
Research shows that students, and sometimes teachers, have trouble with fractions, especially conceiving of fractions as numbers that extend the whole number system. This paper explores how fractions are addressed in undergraduate mathematics courses for prospective elementary teachers (PSTs). In particular, we explore how, and whether, the instructors of these courses address fractions as an exte...... hiện toàn bộ
The concept of integration at the Varna congress
Educational Studies in Mathematics - Tập 1 - Trang 338-339 - 1969
Proportional reasoning in the laboratory: an intervention study in vocational education
Educational Studies in Mathematics - Tập 86 - Trang 211-221 - 2012
Based on insights into the nature of vocational mathematical knowledge, we designed a computer tool with which students in laboratory schools at senior secondary vocational school level could develop a better proficiency in the proportional reasoning involved in dilution. We did so because we had identified computations of concentrations of chemical substances after dilution as a problematic area ...... hiện toàn bộ
Learning probability in the Kingdom of Tonga: the influence of language and culture
Educational Studies in Mathematics - Tập 107 - Trang 111-134 - 2021
Problems teaching probability in Tonga (in the South Pacific) led to the question on how language and culture affect the understanding of probability and uncertainty. The research uses a discursive approach to identify the endorsed narratives which underlie Tongans’ reasoning in situations of uncertainty. I aim to justify the claim that the Tongan language and the Tongan way of life interact to ma...... hiện toàn bộ
Development of comprehension of logical connectives in symbolic or verbal form
Educational Studies in Mathematics - - 1975
The Cyclic Nature of Problem Solving: An Emergent Multidimensional Problem-Solving Framework
Educational Studies in Mathematics - Tập 58 - Trang 45-75 - 2005
This paper describes the problem-solving behaviors of 12 mathematicians as they completed four mathematical tasks. The emergent problem-solving framework draws on the large body of research, as grounded by and modified in response to our close observations of these mathematicians. The resulting Multidimensional Problem-Solving Framework has four phases: orientation, planning, executing, and checki...... hiện toàn bộ
Problem length as a structural variable in verbal arithmetic problems
Educational Studies in Mathematics - Tập 5 - Trang 109-123 - 1973
Of five structural variables that in previous studies accounted for a significant amount of the observed variance in the error rate in verbal arithmetic problems, the length variable (number of words in the problem statement) apparently was more important in the upper grades than in the lower grades. In this study three forms of a verbal problem set in which the number of words in the problem stat...... hiện toàn bộ
Examination of the constructed dynamic bridge between the concepts of differential and derivative with the integration of GeoGebra and the ACODESA method
Educational Studies in Mathematics - Tập 99 - Trang 311-333 - 2018
The purpose of this study was to explore how university students construct the relationship between the concepts of differential and derivative with the integration of GeoGebra and the ACODESA method. The participants in this study were 33 pre-service mathematics teachers. An open-ended questionnaire, knowledge test, tasks, and participants’ dynamic constructions were used as data collection tools...... hiện toàn bộ
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