In the Hungarian "Guided Discovery" approach to teaching mathematics, teachers' planning work plays a crucial role. Teachers following the approach develop teaching trajectories based on "series of problems". This work includes the choice, creation, transformation, organization and networking of problems with regard to various…

Effective math instruction is crucial for developing students' problem-solving abilities. This Spotlight explores key strategies and approaches to enhance math teaching and learning. From laying the foundation for algebra in kindergarten to improving understanding of fractions, these articles offer valuable perspectives. Discover how to help…

In this article, we focus on pairing instructional approaches with a strong evidence base in math with evidence-based practices for students with extensive support needs. To do so we draw on two sources. We use the 2021 Practice Guide from the Institution for Education Sciences (Fuchs et al., 2021). In addition, we use identified evidence-based…

Word problems are an essential component of providing a context for computation but are also recognized as an enduring struggle for students. Students are challenged to solve these story-based problems, often resorting to trial and error. This article presents meaningful alternative approaches to helping students make sense of word problems.

Molecular orbital configurations give rise to electronic terms comprising corresponding electronic states. Electronic terms possess symmetry classifications, which are denoted by a term symbol, based on the symmetry properties of the electronic wave functions associated with the states. Using the methylene radical, and both planar and twisted…

This article presents a checklist of 10 evidence-based practices for educators to apply in mathematics instruction for students with learning disabilities. The checklist is "actionable," meaning the items on the checklist can be put into action immediately. It provides practical strategies teachers can adopt to fit their lessons…

Teachers have found that engaging students in justification can help students deepen and retain mathematical knowledge, gain a greater sense of ownership over the material, and improve communication and representation skills (Staples, Bartlo, and Thanheiser 2012). Student engagement in a justification activity can also lead to more equitable…

This study relates factors in nature of Mathematics and its teaching learning to student difficulties for diverse mathematics tasks. Descriptive survey was done on a sample of 300 high school students in Kerala with a questionnaire on difficulties in learning. Student perception of difficulty on 26 types of tasks, under five heads that students…

The Alabama State Department of Education (ALSDE) was grappling with several issues including: (1) A respectable rate of growth in student achievement for both fourth- and eighth-grade math in the state of Alabama, as measured by the National Assessment of Educational Progress (NAEP), but below the national average; and (2) A growing concern about…

Achieving communicative competency in English classes has been a key goal in contexts where English is taught as a foreign language (EFL). During this process, however, integrating the difficulty and complexity of real life tasks into classroom teaching has often been disregarded. Lack of opportunities for authentic language use often results in…

Compared with introductory physics, relatively little is known about the development of expertise in advanced physics courses, especially in the case of quantum mechanics. Here, we describe a framework for understanding the patterns of student reasoning difficulties and how students develop expertise in quantum mechanics. The framework posits that…

This article presents two innovative tools--the Mathematics-Literacy Planning Framework and Mathematics-Literacy Implementation Checklist--which are designed to help instructional coaches and specialists support teachers to meet the challenges of the mathematics-literacy integration goals of the Common Core. Developed with teacher input, these…

The present study examined the efficacy of two different approaches to teaching designed to facilitate children's learning about science concepts and vocabulary related to objects' floating and sinking and scientific problem-solving skills: responsive teaching (RT) and the combination of responsive teaching and explicit instruction (RT + EI).…

The purpose of the study was to identify effective pedagogical strategies to increase 4th grade students' mathematics problem-solving skills. Numerous researchers have looked at mathematics problem solving; however, there is a scarcity of data relating to 4th grade mathematics problem solving proficiency. Fourth grade students at the…

How do mathematics teachers introduce the concepts of slope, rate of change, and steepness in their classrooms? Do students understand these concepts as interchangeable or regard them as three different ideas? In this article, the authors report the results of a study of high school Advanced Placement (AP) Calculus students who displayed…