Creativity is a dynamic process which generates ideas that are both novel and of value. However there is little understanding in what drives creativity in students and how to help teachers or education experts to detect creative thinking. This paper begins to address this gap by providing a platform and experiments for studying how creative…

Games in service of learning are uniquely positioned to offer immersive, interactive educational experiences. Well-designed games build challenge through a series of well-ordered problems or activities, in which perseverance is key for working through ingame failure and increasing game difficulty. Indeed, persistence through challenges during…

In this report, Joel Rose describes his experience leading a nonprofit organization called New Classrooms Innovation Partners that works to develop a more modern and impactful classroom experience. New Classrooms developed an innovative learning model called "Teach to One: Math" that integrates live, collaborative, and independent…

The current study aims to examine meanings and error types associated with pre-service elementary teachers' semi-structured problems for the multiplication and division of fractions. A total of 83 junior pre-service elementary teachers were recruited in the spring semester of the 2016-2017 academic year. A researcher-developed Problem Posing Test…

Analysis of recently-released NAPLAN tests reveals that the tests cover year levels well below the nominal year and that some aspects of the mathematics curriculum are underrepresented. A high level of untested curriculum content descriptions was found.

Argumentation activities, such as constructing and communicating claims, critiquing others' ideas, and evaluating the strengths and weaknesses of claims, can play a foundational role in students' educational development. Yet there is more to understand about utilising these activities for effective mathematics learning. This paper discusses an…

Mathematical reasoning is a key proficiency in mathematics, however primary school teachers may have trouble noticing students' mathematical reasoning mid-lesson. In this study, students' mathematical reasoning has been analysed using video data collected as one grade of Year 5 and 6 students worked through the 'Painted Cube' task. Analysis…

We report on 25 Year 5-6 students' written responses to two items taken from an assessment of mental computation fluency with multiplication, alongside their reasoning of the strategy they had employed, which may or may not have made use of the associative property. Coding of this interview data revealed four distinct levels of conceptual…

This study was conducted to gain understanding about potential influences that learning about quadratic functions has on high school algebra students' action versus process views of linear functions. Pre/post linear functions tests were given to two classrooms of Algebra II students (N=57) immediately before and immediately after they participated…

Technology-mediated simulations of teaching practice are becoming a more common way to introduce teachers to the dilemmas of teaching during professional development. In this paper, we show that the inclusion of markers of student emotions in cartoon-based scenarios of teaching changes teachers' appropriateness rating of the actions that the…

This paper articulates a stance on the study of students' meaningful mathematics understanding with multiple representations. We integrate Thompson's theory of quantitative reasoning and Dreyfus' theory of multiple representations in our approach to frame and conduct empirical investigations of the study of meaningful understanding of function. We…

A long-standing hypothesis in statistics education has posited that instructors could have a large impact on students' attitudes toward statistics. This hypothesis remained untested over the years. Moreover, if instructors do have a large impact on students' statistics attitudes, then there is a need to provide explanations as to what dimensions…

Previous studies indicated that calculus courses are considered 'weed-out' courses as a lot of students in STEM majors struggle to pass. Instructors and researchers explored various instructional methods to facilitate calculus learning, however, more tailored instructional strategies are still needed. Inventing Contrasting Case is a strategy that…

The aim of this quantitative research is to analyze the impact of Facebook in the teaching-learning process in financial mathematics education, using data science, machine learning, and neural networks. The sample is composed of 46 students from the Bachelor of Administration, Commerce and Marketing program at La Salle University. The results of…

Research findings and reform-oriented standards emphasise the importance of mathematical connections in support of students' conceptual development. Previous research on teachers attending to mathematical connections has tended to focus on expert teachers' practice. Complementing previous research, this study describes how a cohort of twelve…