This qualitative study draws on Design-Based Research and explores the impact of a Maker Day on teachers' conceptualizations of design thinking. At the Maker Day, participants experienced design thinking as a problem finding approach prior to making prototypes. Intersection of design thinking and making supports constructionist learning; it can be…

Similar triangles in questions are usually given as separate, adjacent or overlapped. Furthermore, similarity types such as Side-Angle-Side (S.A.S.), Side-Side-Side (S.S.S.) and Angle-Angle (A.A.) are requested in the questions. Students have more trouble in other types of questions. The purpose of this study is to investigate the difficulties of…

When students solve an algebra problem, students try to deduce the facts in the problem. This step is imperative, students can draw conclusions from the facts and devise a plan to solve the problem. Drawing conclusions from facts is called reasoning. Some kinds of reasoning are deductive, inductive, and abductive. This article explores the…

Students' epistemological beliefs are beliefs centred on one's own learning and knowledge. Such beliefs play a major role in the way one approaches problem solving in physics. The intention of this study is to evaluate such beliefs amongst undergraduate physics students. An analytical tool developed by Hammer has been used as a criterion for…

Duncan Symons and Derek Holton discuss the different types of mathematical reasoning and what each of these might look like in the classroom. By suggesting language that can be used to describe the different methods of reasoning, they hope to provide teachers with the tools they need to better recognise and assess student reasoning.

This study examined prospective secondary mathematics teachers' professional noticing of students' reasoning about mean and variability as described in a current statistics curriculum in the USA. Six prospective mathematics teachers were asked to analyse students' written solutions to statistics problems, constructed at the two levels described in…

The beginning of the school year is a time of intense work for students and teachers, especially if it means learning mathematics in new ways (Ruef 2016). Students need guidance and support if they are shifting beliefs about what it means to do mathematics. This article shows how Torres and her students co-created new ways to be good at…

Experiential learning opportunities have been proven effective in teaching applied and complex subjects such as business analytics. Current business analytics pedagogy tends to focus heavily on the modeling phase with students often lacking a comprehensive understanding of the entire analytics process including dealing with real-life data that are…

The aim of the study was to determine the arithmetic and algebraic problem-solving approaches of prospective mathematics teachers in the Department of Elementary Mathematics Education, and mathematics teachers in secondary schools. The study adopted mixed methods research design using exploratory sequential pattern. The participants of the study…

This study investigated potential differences in the processes of solving analogies between gifted and average-ability children (aged 9-10 years old) in a dynamic testing setting. Utilizing a pre-test-training-post-test control group design, participants were split in four subgroups: gifted dynamic testing (n = 24), gifted control (n = 26),…

The hammer-and-nail phenomenon highlights human tendency to approach a problem using a tool with which one is familiar instead of analyzing the problem. Pedagogical suggestions are offered to help students minimize their mathematical impulsivity, cultivate an analytic disposition, and develop conceptual understanding.

The emphasis on science, technology, engineering, and math (STEM) disciplines in schools has caused advocates for art education to propose the addition of the arts to the study of STEM, transforming STEM into STEAM. One method of implementing STEAM is Design Thinking (Henriksen, 2017). STEAM education and Design Thinking are both models for…

The aim of this study is to analyse undergraduate students' understanding of polar coordinates based on two theories, Action, Process, Object and Schema (APOS) and Onto-Semiotic Approach (OSA). These two theories complement each other and each of them separately has been used in many research to explore students' performance of mathematical…

Statistics students' conceptions of the work of statisticians and the discipline of statistics may play an important role in the topics to which they attend and their interest in pursuing further study. To learn about students' conceptions, we collected open-ended survey responses from 44 undergraduate students who had completed introductory…

Problem solving followed by explicit instruction, as suggested by productive failure and several other instructional theories, indicates long-term learning benefits, whereas explicit instruction followed by problem solving has been consistently demonstrated as superior within the framework of cognitive load theory. However, the effectiveness of…