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Download full textRodríguez-Nieto, Camilo Andrés; Font, Vicenç; Rodríguez-Vásquez, Flor Monserrat; Pino-Fan, Luis Roberto – Journal on Mathematics Education, 2023
An onto-semiotic analysis of the mathematical connections established by one in-service mathematics teachers and university students when solving a problem about launching a projectile using the derivative was carried out. Theoretically, this research was based on the articulation between the Extended Theory of Mathematical Connections and the…
Descriptors: Mathematics Instruction, Semiotics, Teaching Methods, Task Analysis
Direct linkKop, 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
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
DeJarnette, Anna F.; Rosado Lausell, Sahid L.; González, Gloriana – Mathematics Teacher, 2015
How can geometry teachers design great tasks that allow students to make connections among interrelated concepts and expand their geometric reasoning skills? Many curricular materials provide problems for students to apply a single geometric concept. However, these problems do not always promote reasoning opportunities for students, because…
Descriptors: Geometry, Geometric Concepts, Task Analysis, Mathematics Activities
Gasco, Javier; Villarroel, Jose Domingo; Zuazagoitia, Dani – International Education Studies, 2014
The teaching and learning of mathematics cannot be understood without considering the resolution of word problems. These kinds of problems not only connect mathematical concepts with language (and therefore with reality) but also promote the learning related to other scientific areas. In primary school, problems are solved by using basic…
Descriptors: Word Problems (Mathematics), Problem Solving, Secondary School Mathematics, Mathematical Formulas
Garofalo, Joe; Trinter, Christine P. – Mathematics Teacher, 2012
By working through well-designed tasks, students can expand their thinking about mathematical ideas and their approaches to solving mathematical problems. They can come to see the value of looking at tasks from different perspectives and of using different representations. This article discusses four tasks that encourage high school students and…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Mathematical Concepts, Preservice Teacher Education
