In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

Self-explanation prompts in example-based learning are usually directed backwards: Learners are required to self-explain problem-solving steps just presented ("retrospective" prompts). However, it might also help to self-explain upcoming steps ("anticipatory" prompts). The effects of the prompt type may differ for learners with…

This study reports a secondary analysis from a randomized control trial study conducted with third graders with mathematics difficulty (MD; N = 75). We used simple linear regression to investigate whether students' performance on a word-problem vocabulary assessment predicted their performance on a measure of word-problem solving. Additionally, we…

The purpose of this study is to provide reliable evidence of the observable correlates of the Aha! moment and what this means for moving from surface to deep thinking. The study analyses facial expressions and body language from video recordings of students solving problems, followed by interviews, focus groups, and surveys. The problem-solving…

To fully execute multitiered systems of support (MTSS), schools must have access to screening and progress monitoring measures that are defensible and appropriate for intended use yet also must be usable within the intended context. Usability is the extent to which a measure, process, or system is acceptable and can be feasibly used by…

Mathematical problem-posing and modeling are essential skills in developing students' analytical thinking and problem-solving abilities. This study aims to examine correlation between 9th-grade students' problem-posing and mathematical modeling skills within the learning domain of numbers and algebra. Additionally, it evaluates students'…

Computational Thinking (CT) is a vital skill for digital citizens in the twenty-first Century. Investigating CT skills and their relationships with demographic and educational factors serve as the basis of CT skills cultivation. However, there is limited research focusing on high school students and inconsistent results regarding the relationship…

This study reviews the literature on error patterns in mathematics among students with mathematics difficulty. We analyzed and synthesized the findings from 17 studies, focusing on the characteristics of error analysis studies, the mathematics topics examined, and the specific error patterns identified. The results revealed the following: (a) the…

Collaborative practice is essential for supporting students with additional needs in schools and often requires working across multiple disciplines. We explored the collaborative interactions of two professions in an interdisciplinary problem-solving task. Teacher candidates and speech pathology students were audio and video recorded working…

This longitudinal study tested the notion of a hierarchy of maths skill development by examining whether the development of later acquired arithmetic skills rely on development of earlier acquired arithmetic skills. The scores of 307 children on single-digit arithmetic, multi-digit calculation, arithmetic word problem-solving, and reading…

This systematic literature review investigates the effectiveness of the think aloud pair problem-solving (TAPPS) and storyboarding strategies in enhancing students' abilities to solve algebra word problems. Notably, algebra word problems pose a significant challenge to students due to their inherent complexity, requiring strong cognitive,…

The purpose of this study is to develop a hand-drawing curriculum to promote the students' creativity for Vocational College, so as to study its implementation effect. The participants were 40 students were sampled by cluster random sampling method majoring in interior design from the Guangxi Electrical Polytechnic Institute in Nanning, Guangxi in…

This systematic review of reviews is an exploratory study that aims to synthesize the myriad of reviews about Problem-Based Learning (PBL) to provide a consensus regarding the definition, components, effectiveness, and most common areas of application of PBL. This will provide educators and policymakers with a robust framework to enhance…

Procedural flexibility is an important skill for algebra. Although prior work has focused on measuring students' procedural flexibility using arithmetic problems, word problems may also capture students' flexibility because of their open-ended nature. To date, no published study has examined the use of word problems as another measure of…

Connecting mathematical concepts to real-life situations is a crucial skill in math class. Using mathematical literacy problems in classes may be an option to make connections with real life. In this context, the aim of this research is to reveal the experiences of preservice mathematics teachers in the process of writing mathematical literacy…