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Direct linkFlores González, Macarena; Vandebrouck, Fabrice; Vivier, Laurent – International Journal of Mathematical Education in Science and Technology, 2022
Our work focuses on the transition from high school to university in the field of calculus. In France, recursive sequences are studied as one of the classical exercises in both institutions. Their studies use different theorems and notions, such as functions, convergence, monotonicity, induction, etc. The work expected at this transition requires…
Descriptors: Calculus, High School Students, Mathematics Instruction, Undergraduate Study
Download full textMelike Yigit Koyunkaya; Burcak Boz-Yaman – International Electronic Journal of Mathematics Education, 2023
This study aims to examine the changes in students' mental constructions of function transformation based on the designed activities, classroom discussions, exercises (ACE) teaching cycle in the light of the action, process, object, schema (APOS) theoretical framework. The study was conducted by seven volunteer students who were enrolled in…
Descriptors: Foreign Countries, Mathematics Education, Mathematical Concepts, Learning Processes
Adiredja, Aditya P. – International Journal of Mathematical Education in Science and Technology, 2021
A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…
Descriptors: Mathematics Instruction, Teaching Methods, Difficulty Level, Generalization
Singh, Ninni; Ahuja, Neelu Jyothi – International Journal of Web-Based Learning and Teaching Technologies, 2019
Face-to-face human tutoring in classroom environments amply facilitates human tutor-learner interactions wherein the tutor gets opportunity to exercise his cognitive intelligence to understand learner's pre-knowledge level, learning pattern, specific learning difficulties, and be able to offer course content well-aligned to the learner's…
Descriptors: Intelligent Tutoring Systems, Sequential Learning, Student Centered Learning, Curriculum Design
Lespiau, Florence; Tricot, André – Educational Psychology Review, 2019
According to Geary's evolutionary approach, humans are able to easily acquire primary knowledge and, with more efforts, secondary knowledge. The present study investigates how primary knowledge contents can facilitate the learning of formal logical rules, i.e., secondary knowledge. Framing formal logical problems in evolutionary salient contexts…
Descriptors: Epistemology, Learning Motivation, Abstract Reasoning, Logical Thinking
Amadieu, Franck; Salmerón, Ladislao; Cegarra, Julien; Paubel, Pierre-Vincent; Lemarié, Julie; Chevalier, Aline – Educational Technology & Society, 2015
This study examined the effects of prior domain knowledge and learning sequences on learning with concept mapping and hypertext. Participants either made a concept map in a first step and then read the hypertext's contents combined with concept mapping (high activating condition), or they read the hypertext's contents first and then made a concept…
Descriptors: Concept Mapping, Hypermedia, Eye Movements, Prior Learning
