Concepts and practices are widely used to assess students' development in computational thinking (CT). However, less is known about how the development of each construct relates to that of the other. With a sample of 997 grade 6 students (average age = 11.43 at the beginning of the school year) from 14 primary schools, we examined the…

The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…

This toolkit helps design teams engage in this process of implementing the "Design for Equity in Higher Education" model. For each phase of the model, this toolkit provides a short description and offers some questions and suggestions to guide practice. [For the companion report, "Design for Equity in Higher Education," see…

Object-oriented programming distinguishes between instance attributes and methods and class attributes and methods, annotated by the "static" modifier. Novices encounter difficulty understanding the means and implications of "static" attributes and methods. The paper has two outcomes: (a) a detailed classification of aspects of…

Students' problem-solving ability depends on their understanding of related scientific concepts. Therefore, the modeling and assessment of students' understanding of specific scientific concepts is important to promote students' problem-solving ability, as it can find students' understanding difficulties and explore breakthrough strategies…

Productive failure has shown positive effects on conceptual and transfer measures, but no clear effects on procedural measures. It is therefore an open question whether, and to what extent, productive failure methods may be used to enhance the learning of procedural skills. A typical productive failure study focuses on a single, complex concept;…

In statistical inference, importance of sampling is recognized as one of its key concepts, which has allowed its incorporation internationally in different curricular guidelines and specifically in the Chilean curriculum, since the first notions of sampling are introduced in 7th Grade. This paper presents an analysis of the responses to an…

This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…

This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…

This design case describes the implementation of the Human-centered Design process, developed by the world leading design firm IDEO and Stanford d. school. The process describes the technology integration onto a teaching credential program course at a university in Central California. It reports the thought process to adopting HCD in the course…

Many research results show that students often highlight "mixed-type" reasoning when tackling problematic situations and problems. This reasoning is based on the simultaneous use of common-sense and mere descriptions of facts, perceived as sufficient to build an "explanation" of observed or proposed situations and problems.…

Introducing the distributivity property of multiplication over addition is a well-known challenge in mathematics education, especially in primary school. As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation and evaluation of a modelling activity in which 2nd-grade students are…

Many randomized controlled experiments in the classroom have found that mathematics learning is improved dramatically when practice problems of one kind are distributed across multiple assignments (spaced) and mixed with other kinds of problems (interleaved). In two studies, we investigated students' knowledge of spacing and interleaving. In Study…

Educational technologies develop quickly. Which functions of face-to-face education can be substituted by technology for distance learning? One of the risks of online education is the lack of embodied interactions. We investigate what embodied interactive technologies might offer for teaching trigonometry when learning at a distance. In a multiple…

This research examined whether children's construals of mathematical manipulatives -- as toys or as tools for doing mathematics -- influenced their learning from a lesson with the manipulatives. Children (grades 2 and 3) were presented with a set of buckets and beanbags, and they were either given no information about the manipulatives (control)…