Because many children worldwide fail to realize their potential for learning school mathematics, diverse initiatives have embraced using digital technologies that provide feedback to individual children. Such training, however, draws children's attention away from the teacher and peers, reducing opportunities for peer-to-peer teaching, learning,…

This convergent mixed methods study investigated the relationship between the assessment-capable learning (ACL) instructional model, John Hattie's influence referred to as "students driving their own learning," and math achievement in kindergarten. While Visible Learning literature has focused on secondary and higher education, this…

Students' ability to apply mathematical knowledge to various situations has been one of the major concerns in mathematics education research. However, little is known about the assessment strategies that have a substantial contribution to the development of mathematical problem-solving skills in kindergarten children through to upper secondary…

How should a wide variety of educational activities be sequenced to maximize student learning? Although some experimental studies have addressed this question, educational data mining methods may be able to evaluate a wider range of possibilities and better handle many simultaneous sequencing constraints. We introduce Sequencing Constraint…

This article discusses an activity designed to encourage writing to learn in mathematics. There were three stages of data collection. An assessment, requiring basic algebra only, was completed by 118 undergraduates from statistics and calculus courses. Students were given summaries of all participant responses, along with the correct answers.…

Many studies have tested external supports for promoting productive collaboration, but relatively few have examined what features characterize naturally productive collaborative tasks. Two lines of research have come to distinct conclusions on the primary task feature associated with productive collaboration: demonstrability versus complexity.…

This article analyses aspects of the process of developing "functional" assessments of mathematics at the end of compulsory schooling in England. A protocol that was developed for scrutinising assessment items is presented. This protocol includes an indicator of the "authenticity" of each assessment item. The data are drawn…

The study was a quasi-experimental research project conducted to investigate the effect of performance assessment-driven instructions on the attitude and achievement in mathematics of senior high school students in Ghana at Ghana National College in Cape Coast. Two Form 1 science classes were used for the study and were assigned as experimental…

Recent international studies have highlighted the success of students from Hong Kong in mathematics and problem-solving, and have begun to suggest some of the factors associated with this success. Other studies have suggested that Hong Kong students are averse to risk-taking, favouring memorisation and imitation in their solution strategies. Year…

Provides information for constructing two-dimensional performance graphs for students to assess their competencies and to diagnose difficulties in the important area of problem solving. (ASK)

An "ill-defined" informal performance task was constructed to evaluate secondary students' problem solving in mathematics. The task for 170 students in grades 9 and 10 was to evaluate other students' solutions to two mathematics questions. Higher-achieving students generally preferred responses reflecting multiple approaches to problem solving,…

This book is designed to help teachers use journals to integrate authentic assessment with the instruction of mathematics. It provides a structure to encourage students to write regularly in mathematics. The book is designed to help teachers develop their own assessment questions and activities for additional mathematical explorations. For each…

A study examined the combined effects of class wide instruction on performance assessment tasks and problem solving instruction in ad hoc tutoring in mathematics on six students with learning disabilities. The two interventions led to demonstrable differences over time when compared to students who did not receive this kind of instruction.…

This paper reports on the processes and results of a project on the instruction and practices of mathematics problem solving and strategies. Students in the second, third, and fifth grades were targeted to increase achievement in the area of math problem solving. Problem solving achievement was measured using performance tasks, rubrics, and tests…

Describes the PACKETS Program for Middle School Mathematics, a research-based performance-assessment program being developed by the Educational Testing Service. The activities, based on real-life problems whose solutions must address a particular client's needs, are designed to promote student learning while allowing the teacher to document this…