The aim of the study was to understand preservice mathematics teachers' improvement of their knowledge of mathematical modeling and knowledge for teaching modeling postintervention. A total of 57 preservice mathematics teachers voluntarily participated in the study, which lasted for a period of five weeks. Data sources included three separate…

Worked examples support learning. However, if they introduce easy-to-confuse concepts or principles, specific ways of providing worked examples may influence their effectiveness. Multiple worked examples can be introduced blocked (i.e., several for the same principle) or interleaved (i.e., switching between principles), and can be sequentially or…

This article reports on how a pedagogical entrepreneurship approach combined with fundamental elements of mathematical modelling may be used to strengthen students' development of mathematical literacy in upper primary school. This is done first through a review of the relationship between pedagogical entrepreneurship in mathematics, mathematical…

Proposing scientific descriptions is critical for individuals to cope with daily problems and acquire essential information. Nonetheless, few classes have enhanced students' ability to describe facts of scientific phenomena. Thus, using a tool of technology-based laboratory, this research examined whether students' scientific descriptions and…

Mathematical modeling has been recognized and highlighted in most standards and reports as an important concept to the teaching and learning of mathematics. The study investigated 208 PK-8 preservice teachers' (PSTs') familiarity and experiences with mathematical modeling. The study adopted a survey-design perspective to collect data from 10…

Knowledge space theory (KST) is a mathematical framework for modeling and assessing student knowledge. While KST has successfully served as the foundation of several learning systems, recent advancements in machine learning provide an opportunity to improve on purely KST-based approaches to assessing student knowledge. As such, in this work we…

Recent data from a cross-national assessment, the Programme for International Student Assessment (PISA), place the United States performance in mathematics at 38 out of 71 countries (OECD, 2016)--one clear indication of the ongoing need for the improvement of mathematics education. This improvement relies, in part, on improving undergraduate…

Students' graph comprehension may be affected by the background of the students who are the readers or interpreters of the graph, their knowledge of the context in which the graph is set, and the inferential processes required by the graph operation. This research study investigated these aspects of graph comprehension for 152 first year…

The subject of the research is to build methodologies to evaluate the student knowledge by testing. The author points to the importance of feedback about the mastering level in the learning process. Testing is considered as a tool. The object of the study is to create the test system models for defence practice problems. Special attention is paid…

Our model uses a complex quality assessment method of academic training of graduates. We have used a synthesized model, which is based on both positive and negative experience and uses qualimetric approach in quality assessment. The complex factor of the graduate's competency is a sum of scores for knowledge, skills and expertise in subjects that…

In June 2018 the Canadian Mathematics Education Study Group/Groupe Canadien d'étude en didactique des mathématiques (CMESG/GCEDM) held its 42nd meeting in the idyllic setting of Squamish, British Columbia. This meeting marked the first time CMESG/GCEDM had been in British Columbia since 2010 and the first time it had been held at Quest University.…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…