Productive failure is an instructional approach that requires learners to struggle as they attempt to generate solutions to problems before, rather than after, receiving direct instruction on a targeted concept. Studies demonstrate that productive failure prepares students for later learning of new, related knowledge. Our study explored the…

Many educational institutions in higher education switched to problem-based learning (PBL) in the last 5 decades. Despite its' successful implementation worldwide, many institutions still encounter problems in their daily teaching practices that limit deep learning in students. This raises the question: How else can we look at PBL practice and…

An important aspect of bringing innovation to education is supporting children's own innovative thinking. Teachers are finding that escape room activities can provoke children's wonder and determination to pursue their curiosity, which builds a foundation for innovators of the future.

We present a synthesis of the Onto-semiotic Approach (OSA) theoretical system to mathematical knowledge and instruction, while highlighting the problems, principles and research methods that are addressed in this approach and considering the didactics of mathematics as a scientific and technological discipline. We suggest that Didactics should…

While some of Paulo Freire's readers understand his pedagogy as a rejection of any and all directive teaching methods, there are many scholars who do recognise Freire's emphasis on teacher directiveness in its appropriate form. In light of this tension between directiveness and dialogue, it seems that students of Freire must inevitably come to a…

Delivering high rates of opportunities to respond (OTR) has been shown to improve student outcomes for students with challenging behavior. High rates of OTR can maximize student engagement while providing ways for teachers to quickly assess student content mastery. Given the increasing trend of technology use in schools, teachers can leverage…

This chapter focuses on the development of concepts that children draw on as they work toward understanding negative numbers. Framed from a conceptual change lens, I discuss different interpretations children have of minus signs, numerical order, numerical values, and addition and subtraction operations and how children draw on these varied…

Literature on learning trajectories is reviewed, and challenges in developing designs to support responsive instruction are highlighted. A distinctive form of design called a "multi-dimensional instructional framework" is introduced. These frameworks span key dimensions of mathematisation, such as notating and distancing the setting,…

There are two overarching goals to this case study. First, the authors want to introduce students as early as possible in their study of business to the perils of deliberate misstatements of income in financial statement and the significant consequences that await those who do. Given the recent business scandals involving mortgage-backed…

Teachers across the nation are taking up the call to prepare students for new standards and assessments that require written explanations on a variety of math tasks. But what does it really mean to "explain your answer," and how do educators begin supporting students to write in a genre that is new to both students and teachers? This…

One of the challenges that science teachers face is the lack of strategy/method to train students in data collection and developing analytical skills, which are pre-requisites to resolve socio-scientific problems and an important element in scientific literacy. In this activity, the SWOT analysis proposed by the Stanford Research Institute in the…

This paper reports on initial findings from the Visible Maths Pedagogy research project, a collaboration between an academic researcher and two teacher researchers (the paper's authors). The aim of the project was to explore the effects of making pedagogy more visible on students' success in school mathematics. We adopted a Participatory Action…

One of the major challenges of teaching science has been engaging students in discussions of concepts due to lack of perceived relevancy of topics to students' individual goals and societal issues. Science has been viewed as a set of abstract topics disconnected from the real world. To increase student motivation, self-efficacy, and interest in…

We present a case of one teacher's engagement in project-based learning for algebra I students. This teacher was a member of a cohort of mathematics teachers and career technical educators who participated in a two-week intensive summer institute investigating autonomous vehicles. During the academic year, the follow up support for these educators…

Building scientific arguments is a central ability for all scientists regardless of their specific domain. In organic chemistry, building arguments is a necessary skill to estimate reaction processes in consideration of the reactivities of reaction centres or the chemical and physical properties. Moreover, building arguments for multiple reaction…