Effective and data-driven math instruction can maximize student learning and achievement. This Spotlight will help analyze best practices for developing math word problems; explore how showing students both the correct and incorrect solutions can improve their understanding; investigate math 'fact fluency' and strategies for strengthening it;…

Computational Thinking (CT) is an increasingly relevant concept that researchers are promoting in formal learning contexts. In their mission to prepare teachers to integrate CT into K-12 schooling, teacher educators would benefit from understanding the different kinds of preconceptions of CT that their students bring to the classroom in order to…

This paper is based on data gathered during visits to Uganda and Malawi, conducted by the International Math-teacher Professionalization Using Lesson Study (IMPULS) project and the Japanese International Cooperation Agency (JICA). The author's observations and experiences highlighted misconceptions about lesson study. The paper concludes that some…

This paper conceptualizes spatial literacy as consisting of three overlapping domains: visualization, reasoning, and communication. By considering these domains, this study explores different aspects of spatial literacy to better understand how a group of mathematics teachers reasoned about spatial tasks. Seventy-five preservice and inservice…

Some of mathematics teaching is routine, like an exercise from a textbook for which you have received instruction and already know what to do. On other occasions, however, teaching mathematics is challenging, involving problems of teaching for which the solutions may not be readily apparent. These situations require the application of mathematical…

Background: Historically, significant advances in scientific understanding have followed advances in measurement and observation. As the resolving power of an instrument increased, so have gains in the understanding of the phenomena being observed. Modern interactive systems are potentially the new "microscopes" when they are…

This booklet is a summary of an extensive review of research and other literature undertaken to guide the development of the Wellbeing@School website self-review process, survey tools and content. This website is being developed by the New Zealand Council for Educational Research (NZCER). The "Wellbeing@School" website is one component…

Too often, teachers scratch their heads and ask, "What were my students thinking?" then answer, "I don't want to know." But teachers should want to know, and students should question their own thinking, as well. Critical thinking involves not just problem solving, creativity, analysis, and synthesis but also self-awareness of learning and learning…

In American popular culture, the word "rural" invokes images of sunny farms and little red school-houses--while "urban" means drugs, poverty, and crime. But rural schools face many of the same challenges as their urban counterparts. The problems of rural schools are often invisible to the public and policy makers. The solutions…

This paper makes a case that decision making (DM) is not social problem solving (SPS) and DM is subordinate and subsumed within SPS. Both terms are defined and distinguished. Confusion between SPS and DM is widespread and has occurred for at least four decades. DM, not SPS, has been established as one of the seven National Health Education…

Submicrorepresentations (SMR) could be an important element, not only for explaining the experimental observations to students, but also in the process of evaluating students' knowledge and identifying their chemical misconceptions. This study investigated the level of students' understanding of the solution concentration and the process of…

This study investigated the effectiveness of multiple scaffolding tools in helping students understand a complex problem. In order to support students with this task, a multimedia learning environment was developed based on the cognitive flexibility theory (CFT) and scaffolding through computer-based tools. Seventy-nine 10th-grade students in an…

We studied students' conceptions of correctness and their influence on students' correctness-related practices by examining how 159 students had analyzed the correctness of error-free and erroneous algorithms and by interviewing seven students regarding their work. We found that students conceptualized program correctness as the sum of the…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…