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Direct linkRämö, Johanna; Lahdenperä, Juulia; Häsä, Jokke – PRIMUS, 2021
Over the past 9 years, we have implemented, developed, and refined a novel student-centered teaching method called Extreme Apprenticeship in university mathematics context. In this paper, we report the theoretical orientation behind the method, as well as its practical implementation. We also reflect on our experiences gained from using it in our…
Descriptors: College Mathematics, Mathematics Instruction, Teaching Methods, Student Centered Learning
Download full textKaarakka, Terhi; Helkala, Kirsi; Valmari, Antti; Joutsenlahti, Marjukka – LUMAT: International Journal on Math, Science and Technology Education, 2019
MathCheck is a relatively new online tool that gives students feedback on their solutions to elementary university mathematics and theoretical computer science exercises. MathCheck was designed with constructivism learning theory in mind and it differs from other online tools as it checks the solutions step by step and shows a counter-example if…
Descriptors: Educational Experiments, College Mathematics, Mathematics Instruction, Computer Assisted Instruction
Pelkola, Timo; Rasila, Antti; Sangwin, Christopher – Informatics in Education, 2018
In this paper we report a study in which we have developed a teaching cycle based closely on Bloom's Learning for Mastery (LFM). The teaching cycle ameliorates some of the practical problems with LFM by making use of the STACK online assessment system to provide automated assessment and feedback to students. We report a clinical trial of this…
Descriptors: Foreign Countries, Program Implementation, Mastery Learning, Calculus
Koponen, Mika; Asikainen, Mervi A.; Viholainen, Antti; Hirvonen, Pekka E. – EURASIA Journal of Mathematics, Science & Technology Education, 2017
It is no surprise that all mathematics teacher education programs attempt to increase future teachers' knowledge, since teachers' knowledge has an effect not only on their teaching but also on their students' achievements. However, measuring the relationship between teachers' knowledge and their education is overly demanding. In this study we…
Descriptors: Mathematics Instruction, Mathematics Teachers, Foreign Countries, Teacher Education
Kuikka, Matti; Laakso, Mikko-Jussi; Joshi, Marjo – Journal of Educational Technology Systems, 2016
This article outlines the effect of the collaborative educational tool ViLLE when learning business mathematics in higher education. ViLLE validates students' answers during the assessment process and provides immediate feedback, enabling students to receive feedback and guidance about the correctness of their answers. The learning results in the…
Descriptors: Feedback (Response), Mathematics Instruction, Higher Education, College Mathematics
Simoson, Andrew J. – College Mathematics Journal, 2011
Given two arc length measurements along the perimeter of an ellipse--one taken near the long diameter, the other taken anywhere else--how do you find the lengths of major and minor axes? This was a problem of great interest from the time of Newton's "Principia" until the mid-eighteenth century when France launched twin geodesic…
Descriptors: Foreign Countries, Geometric Concepts, Mandarin Chinese, Mathematics Instruction
Kolar-Begovic, Zdenka, Ed.; Kolar-Šuper, Ružica, Ed.; Jukic Matic, Ljerka, Ed. – Online Submission, 2017
The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…
Descriptors: Mathematics Education, Mathematics Instruction, Educational Research, College Students
