The modelling approach to teaching and learning mathematics emphasizes the usefulness of mathematics in the real-world. The aim of the current study is to examine whether engagement in modelling activities provides learners an opportunity to expand their knowledge of a specific concept -- the "average" concept. Our data include…

In undergraduate engineering education, students are often overexposed to problem-solving methods that are unrepresentative of how engineers solve problems in practice. For decision-making problems, in particular, students are commonly taught to compare alternative solutions using known and provided information. However, many real-world…

Fractions are perceived as one of the most difficult areas in school mathematics to learn and teach. The most frequently mentioned factors contributing to the complexity are fractions having five interrelated constructs (part-whole, ratio, operator, quotient and measure) and teachers' pedagogical approaches to address these constructs. The present…

In this paper we analyse the role of the teacher in a Digital interactive Storytelling in Mathematics (DiST-M) activity. involved in the story as a character (the Guru, a math expert), the teacher acts as a mediator in students' problem-solving process. We analyse how the teacher may orchestrate the mathematical discussions to allow students…

Teacher professional learning occurs across various contexts. Previous studies on teacher learning and changes in practice have focused on either classroom contexts or learning communities outside of school, but have rarely investigated teacher learning across multiple contexts. Investigating teacher learning across the double contexts of…

We conducted a semester-long ethnographic study of group work in a physics class that implemented the investigative science learning environment approach. Students' conversations were videotaped while they were engaged in group learning activities. Our primary research goal was to better understand what factors made some groups more effective than…

How do you prepare your students for a future that you can't see? And how do you do it without exhausting yourself? Teachers need a framework that allows them to keep pace with our rapidly changing world without having to overhaul everything they do. "Learning That Transfers" empowers teachers and curriculum designers alike to harness…

To understand how learner metacognition and goal orientation affect learner problem-solving in a Serious Game (SG) environment, this study examined 12 undergraduate students' metacognition, goal orientations, and problem-solving performances and processes while playing a SG that adopts problem-based learning pedagogy to teach space science.…

The Common Core State Standards for Mathematics emphasize the importance of developing students' conceptual understanding, mathematical reasoning, and problem solving skills. This is a shift from the traditional approach to teaching mathematics and many teachers rely on curriculum resources to help them meet these new standards and expectations.…

Although there have been calls for secondary mathematics education in the U.S. to incorporate problem-solving and creativity, the lion's share of instruction is designed to train students to accurately use procedures or understand concepts made by mathematicians in the past (National Research Council, 1999; Watson, 2008). This disconnect…

While programming was introduced to mathematics classrooms in the 1980s, emerging robotic technologies have encouraged more widespread integration of these technologies to support the development of K-12 students' mathematical reasoning. The recent emphasis of programming and computational thinking in K-12 education has highlighted the need to…

This study aims to examine mathematics teachers' interpretations of students' thinking within the scope of teaching experiments as a professional development activity. The method used in this study is a teaching experiment. The participants are 3 elementary school mathematics teachers. The teaching experiment consists of 5 teaching episodes and…

A more motivating way of introducing students to probability theory is through real-world problems. Since heuristics play an important role in our probabilistic judgement, knowing how to avoid incorrect probabilistic reasoning, which leads to several biases, could help students to develop more critical thinking skills. In this paper, we present a…

When gestures occur with speech during math instruction, learning outcomes improve, indicating that gesture has the potential to mitigate educational inequities. One population that could benefit from an instructional tool like gesture is English Language Learners (ELLs). To increase our understanding of gesture's potential benefits for math…

This article seeks to provide researchers and practitioners in laboratory education, particularly those involved in the curriculum design and implementation of teaching laboratories at university level, with a conceptual framework and a working model for an integrated assessment of learning domains, by attending to a more holistic approach to…