Currently, dynamic structural equation modeling (DSEM) and residual DSEM (RDSEM) are commonly used in testing intensive longitudinal data (ILD). Researchers are interested in ILD mediation models, but their analyses are challenging. The present paper mathematically derived, empirically compared, and step-by-step demonstrated three types (i.e.,…

In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…

This three-day lesson plan provides students with an introduction to reading topographic maps using multiple modalities. The goal is to give students a range of opportunities using different media to increase their map-reading skills. After hands-on modeling, a summative assessment provides students with the opportunity to put their topographic…

In Physical Education Teacher Education programs, we argue that a focus on fewer models to be taught and learned would provide time for higher competence to be attained by preservice teachers in a curriculum limited in terms of contact hours. During their teacher training, preservice teachers should be given ample opportunities to practice the…

Modeling is a core practice in science and is a meaningful way to learn the subject. This article introduces a modeling-based approach that highlights the idea that modeling is an iterative process and integrates the fundamental parts of scientists' work and key suggestions for teaching through modeling. The lesson "The Structure and Function…

The responsibilities of a general physical educator can be challenging and at times overwhelming. Whether teaching a full day of general physical education, or inclusive physical education classes that include a student or multiple students with disabilities, the expectation is that all students will be provided age and developmentally appropriate…

Typically, vocabulary instruction is associated as part of reading instruction. However, vocabulary instruction is also a necessary component of mathematics instruction. In fact, state and national standards (e.g., Common Core State Standards) require elementary students to communicate about mathematics to provide clear explanations, construct…

The mathematical modeling process is also a powerful way to teach students the meaning of data. In mathematical modeling, students are collecting data to answer a question. Data collection is the means to an end and not the end in itself. The author was looking for an engaging way to introduce his third-grade mathematics class to the skill of…

Enzymes are nature's catalysts, mediating chemical processes in living systems. The study of enzyme function and mechanism includes defining the maximum catalytic rate and affinity for substrate/s (among other factors), referred to as enzyme kinetics. Enzyme kinetics is a staple of biochemistry curricula and other disciplines, from molecular and…

Researchers have suggested that initial attempts to change mathematics instruction often leave educators "with no framework for the kinds of specific, constructive pedagogical moves" they might make (Chazan & Ball, 1999, p. 2). The intent of this article is to introduce a framework for teaching and learning mathematics that is robust…

Computational modeling and thinking skill sets were previously relegated to computer scientists and programmers. As a result, computational tools are largely unfamiliar to K-12 science teachers and students. Using Mathematical and Computational Thinking and Developing and Using Models were included in the "Next Generation Science…

Mathematics teachers are increasingly being called to integrate mathematical modeling into their course sequences and curriculum (NCTM 2018; NGA Center and CCSSO 2010). Mathematical modeling is a dynamic cycle calling teachers to engage in complex instructional work that advances students' mathematical knowledge and reasoning. The modeling cycle…

Nicolas Senior shows how EMC3 's Launch-Explore-Summarise/Review model for mathematics lesson structuring sets the conditions to get the most out of both dialogic and direct instruction. He argues that this model will help teachers walk the balance between order and chaos.

The purpose of this article is to describe a modeling sequence about the digestive system. "What happens in your body when you have lactose intolerance?" is the initial question that will guide the activities. Students will build a 3D plaster cast of the digestive system as part of a modeling cycle through which they are expected to…

Sex and sexuality are complex, multi-faceted topics. Sexuality educators and practitioners often face challenging dilemmas with few ethical decision-making models available. While there are professional codes of ethics for sex educators, there are no practical models to inform an educator's ethical decision-making in professional situations. This…