While one branch of literature is replete with investigations of problem solving and another branch frequently investigates student use of dynamic mathematics environments (DMEs), most of the studies in both of these fields consider whether or not students can solve problems. Far fewer number of studies consider the cognitive processes associated…

We live in the challenging times of the 21st-century with the increased need for humans to possess specific skills that will help them to be successful in this era. This means that education should in learners, develop these skills effectively. Different global countries have begun to recognize the significance of multiple solutions tasks in the…

According to the Association of Mathematics Teacher Educators (AMTE, 2017), teachers should first try to see problems through their students' eyes, anticipate, understand, and analyze students' varied ways of thinking, and respond appropriately. In this study, we engaged preservice teachers (PTs) in planning to implement problem-solving tasks;…

Hypothesis testing involves a complex stepwise procedure that is challenging for many students in introductory university statistics courses. In this paper we assess how feedback from an Intelligent Tutoring System can address the logic of hypothesis testing and whether such feedback contributes to first-year social sciences students' proficiency…

Empirical studies of creativity emphasize the importance of ambiguity advantage in idea generation and creative problem-solving. This study examined whether ambiguous figures could directly induce a mind-set that would transfer to the creative problem-solving. In Experiment 1, we examined whether presentation of ambiguous figures would influence…

Effective self-regulated learning in settings in which students can decide what tasks to work on, requires accurate self-assessment (i.e., a judgment of own level of performance) as well as accurate task selection (i.e., choosing a subsequent task that fits the current level of performance). Because self-assessment accuracy is often low,…

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

This classroom-based study explored language mindsets in the context of communicative interaction between L2 learners. Amid the increasing research on mindsets in the L2 field, two issues warrant further research to improve our understanding of how mindsets affect L2 learning. First, research has largely been product-oriented and mindsets' impacts…

Background: Preparing students to solve complex problems is an identified area of need in engineering education. Despite the documented influence of motivation on learning, little research exists that examines how motivation and problem solving in engineering interconnect. Purpose: This study explores how engineering students perceive problem…

In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework…

Studies of children's developing social identification often focus on individual forms of identity. Yet, everyone has multiple potential identities. Here we investigated whether making children aware of their multifaceted identities--effectively seeing themselves from multiple angles--would promote their flexible thinking. In Experiment 1, 6- to…

This study aims to investigate pre-service teachers' integration of technology and how the integration of technology influences the level of cognitive demands of the mathematics tasks in their mathematics technology activities. The purpose of this study was to investigate the various levels of cognitive demands of mathematical tasks created or…

The aim of this study is to investigate task design for differentiated instruction in mathematics in professional learning communities. Based on the cultural-historical activity theory, we conceptualize a professional learning community as an activity system and use the analytical construct of contradictions to give an account of structures that…

Collaborative dialogue is rich in conscious and subconscious coordination behaviours between participants. This work explores collaborative learner dialogue through theories of alignment, analysing inter-partner movement and language use with respect to our hypotheses: that they interrelate, and that they form predictors of collaboration quality…

Strategic competence, as a meta-cognitive ability, determines the other translation sub-competences. To tease out how students' strategic competence is developed in translation project is significant in enlightening the translation teaching practice. This study explores how five Chinese college students' translation competence, particularly their…