This study investigated the relationship between three cognitive features of mathematical instruction tasks (high cognitive demand, multiple representations, and multiple solution methods) and student learning outcomes among 1,779 students from 30 Chinese fifth-grade classrooms using a new mathematics curriculum. Measures of mathematics learning…

This article begins with a theoretical discussion of the characteristics that a task should feature to be regarded as a mathematics problem suitable for pre-primary students. Those considerations are followed by a report of a classroom experience in which three problems involving quotative or partitive division were posed to pre-primary school…

This paper analyses meaning-making processes in a blended setting--face-to-face interaction and web forum--purposely created for collaborative learning activity. The analysis focuses on one pair out of 14 dyads. The dyad comprises two female students aged 17 and 18 who attended a Brazilian third-year state secondary school. We envisioned…

Background: Students conducting peer review on open-ended problem solutions require training. For that training, the selection of training examples is critical. Purpose: This study explored how the characteristics of five example solutions used in training and their associated expert evaluations affected students' abilities to score peer team…

With online education comes large amounts of data that can reveal in ways able to be examined quantitatively only sparingly in the past, the physics problem-solving profiles of students. This project uses fundamental research to analyze physics problem-solving behavior of students enrolled in the Massive Open Online Course 8.MReVx offered on the…

While the general planning advice offered to mathematics teachers seems to be to start with simple examples and build complexity progressively, the research reported in this article is a contribution to the body of literature that argues the reverse. That is, posing of appropriately complex tasks may actually prompt the use of more sophisticated…

This paper analyses the tasks allotted to students, featuring two thematic units in the 6th grade Geography textbook published in 2018 by the Didactic and Pedagogic Publishing House Ltd., Bucharest and used in the schools in Romania during the 2018-2019 school year. After a brief analysis of the textbook and its lesson structure, we studied the…

This action report presents a pedagogically-sound approach to transforming conventional EFL instruction into an active learning environment. Following a constructivist project-based learning (PBL) approach, I propose a WebQuest learning module to demonstrate how EFL teachers can capitalize on cost-effective and user-friendly website builders to…

Understanding problems or tasks is a critical step in any problem-solving activity and the heart of self-regulated learning. When encountering a problem, students draw upon information available in the environment, along with knowledge, concepts, and perceptions derived from prior learning experiences, to interpret the demands of the task.…

Despite a seemingly fragmented interactional context, teachers and students in classrooms routinely manage to co-construct coherent, inter-related, and individually adapted learning trajectories distributed over days and weeks. The aim of this article is to explore with what interactional resources progressivity is accomplished in learning…

The ability to solve mathematical problems related to purchasing and personal finance is important in promoting skill generalization and increasing independence for individuals with moderate intellectual disabilities (IDs). Using a multiple probe across participant design, this study investigated the effects of modified schema-based instruction…

Proportional reasoning is important to the field of mathematics education because it lies at the crossroads of additive reasoning in the elementary school and multiplicative reasoning needed for more advanced mathematics. This research reports on the representations used by pre-service teachers (PSTs) as they responded to tasks involving…

In this qualitative research, we studied difficulties that undergraduate students face while learning the concept of inner product space. Participants were 35 first-year mathematics students from Yildiz Technical University in the 2011 and 2012 academic years. We asked participants to solve 5 inner product space questions. Data were jointly…

Reasoning about graphical representations representing dynamic data (e.g., distance changing over time), including interpreting, creating, changing, combining, and comparing graphs, can be considered a domain-specific operationalization of the general twenty-first century skills of creative, critical thinking and solving problems. This paper…

Aim/Purpose: Using Artificial Intelligence with Deep Learning (DL) techniques, which mimic the action of the brain, to improve a student's grammar learning process. Finding the subject of a sentence using DL, and learning, by way of this computer field, to analyze human learning processes and mistakes. In addition, showing Artificial Intelligence…