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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
Marco, Nadav; Palatnik, Alik; Schwarz, Baruch B. – For the Learning of Mathematics, 2021
This paper highlights the pedagogical importance of gaps in mathematical proofs to foster students' learning of proofs. We use the notion of 'gap-filling' (Perry & Sternberg, 1986) from literary theory to analyze a task based on a Proof Without Words, which epitomizes the notion of gaps. We demonstrate how students fill in gaps in this…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2019
This study aims to explore a phenomenon of a one-off manifestation of mathematical creativity on the part of a student, against the background of her normative and not especially creative behavior--a flash of creativity. We seek to elaborate on this phenomenon in terms of the 4P (person, press, process and product) model of creativity. Namely,…
Descriptors: Creativity, Mathematics Instruction, Models, Personality Traits
Culligan, Karla; Wagner, David – For the Learning of Mathematics, 2018
When deciding what constitutes students' "on task" or "off task" mathematical communication, teachers and researchers are also making judgements about what is, and what is not, mathematics. In this paper, we question our ability to separate the mathematical from the nonmathematical. We explore intersecting storylines in Grade…
Descriptors: Mathematics Activities, Mathematics Instruction, Relevance (Education), Grade 10
Tillema, Erik; Gatza, Andrew – For the Learning of Mathematics, 2016
We provide a conceptual analysis of how combinatorics problems have the potential to support students to establish non-linear meanings of multiplication (NLMM). The problems we analyze we have used in a series of studies with 6th, 8th, and 10th grade students. We situate the analysis in prior work on students' quantitative and multiplicative…
Descriptors: Mathematics Instruction, Multiplication, Mathematics Skills, Thinking Skills
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