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Promoting Insight into Algebraic Formulas through Graphing by Hand
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Kop, Peter M. G. M.; Janssen, Fred J. J. M.; Drijvers, Paul H. M.; van Driel, Jan H. – Mathematical Thinking and Learning: An International Journal, 2021
Student insight into algebraic formulas, including the ability to identify the structure of a formula and its components and to reason with and about formulas, is an issue in mathematics education. In this study, we investigated how 16- and 17-year-old pre-university students' insight into algebraic formulas can be promoted through graphing…
Descriptors: Algebra, Mathematics Instruction, Teaching Methods, Secondary School Students
Assessing Analytic Geometry Understanding: Van Hiele, SOLO, and Beyond
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Bossé, Michael J.; Bayaga, Anass; Lynch-Davis, Kathleen; DeMarte, Ashley M. – International Journal for Mathematics Teaching and Learning, 2021
In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…
Descriptors: Geometry, Mathematics Instruction, Teaching Methods, Taxonomy