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Vroutsis, Nikolaos; Psycharis, Giorgos; Triantafillou, Chrissavgi – For the Learning of Mathematics, 2022
In this article we address the 'educationalization' of authentic marine navigation tasks for upper secondary mathematics classrooms and their potential for students' learning. Our approach is based on boundary crossing and as well as on the distinction between realistic tasks (targeting students' familiarization with the marine navigation…
Descriptors: Navigation, Secondary School Students, Grade 10, Mathematics Instruction
Ulrich, Catherine – For the Learning of Mathematics, 2015
This is the first of a two-part article that presents a theory of unit construction and coordination that underlies radical constructivist empirical studies of student learning ranging from young students' counting strategies to high school students' algebraic reasoning. My explanation starts with the formation of arithmetical units, which presage…
Descriptors: Mathematics Education, Secondary School Mathematics, High School Students, Constructivism (Learning)
Bokhove, Christian; Drijvers, Paul – For the Learning of Mathematics, 2010
The algebraic expertise that mathematics education is aiming for includes both procedural skills and conceptual understanding. To capture the latter, notions such as symbol sense, gestalt view and visual salience have been developed. We wonder if digital activities can be designed that not only require procedural algebraic skills, but also invite…
Descriptors: Mathematics Education, Algebra, Symbols (Mathematics), Student Behavior
Hannula, Markku S. – For the Learning of Mathematics, 2003
Understanding and reporting students' affective experiences with mathematics is difficult if those experiences do not resonate with personal experiences. Utilising fiction-writing in narrative reporting can be a technique that helps both the researcher and the reader of the research report to immerse themselves in the student's experiential world.…
Descriptors: Fiction, Learning Experience, Student Experience, Student Centered Curriculum
Karp, Alexander – For the Learning of Mathematics, 2004
Research conducted during the Trends in International Mathematics and Science Study (TIMSS) and later (Stigler et al. 1999; Stigler and Hiebert 1999) undertook a thorough analysis of lessons in the United States, Japan, and Germany. This article focuses on certain aspects of mathematics lessons in Russia. Specifically, the attempt is made to…
Descriptors: Foreign Countries, Mathematics Instruction, Lesson Plans, Teaching Methods