This study explored K-12 teachers' understanding and implementation of the Next Generation Science Standards (NGSS) during and after participation in a professional development (PD) program that included the development of science teachers' conceptual understanding of science. We add to the literature with our focus on a multi-year PD program…

This study aimed to investigate whether the presence (when using physical manipulatives [PMs]) or absence (when using virtual manipulatives [VMs]) of haptic sensory feedback (i.e., open-ended haptic manipulation of physical materials with the use of the hands) during experimentation can impact preschoolers' conceptual understanding of concepts…

In this article, I argue that the common practice across many school mathematics curricula of using a variety of different representations of number may diminish the coherence of mathematics for students. Instead, I advocate prioritising a single representation of number (the number line) and applying this repeatedly across diverse content areas.…

The premiere book in the STEM for Our Youngest Learners Series introduces the Infant Toddler Inquiry Learning Model, a new way to think about how young children (birth-age 3) explore, think, and learn STEM concepts. The book also demonstrates how the Inquiry Teaching Model can guide teachers in implementing STEM experiences for this age group.…

In today's dynamic and high-tech learning environment, offering flexible and innovative assignment options is crucial for engaging students across varied learning preferences and backgrounds. Alternative formats, such as gamification and storyboards, can boost engagement, spark creativity, and enhance learning outcomes in college classrooms. By…

The 21st-century skills seek to develop learners who will be problem solvers in society. This paradigm shift requires the use of learner-centered strategies that emphasize collaborative problem-solving. To explore the effectiveness of such approaches, this study sought to determine how effective Wheatley's problem-centered approach would be in the…

The study investigated the impact of guided inquiry-based laboratory experiments enriched instructional (GIBLEI) approach on conceptual understanding of tenth grade students in biology. The study included two purposively chosen schools and used a quasi-experimental design with non-equivalent groups. A class was randomly assigned as the…

Basis vectors e[subscript alpha] play a useful role in special and general relativity. In particular they allow an expansion of the vectorial spacetime interval dl along infinitesimal curvilinear coordinate differences dl = e[subscript alpha]d[Xi][superscript alpha]: (thus the definition e[subscript alpha] = dl/d[Xi][superscript alpha]). In this…

The paper presents analyses of multivariable calculus learning-teaching phenomena through the lenses of DNR-based instruction, focusing on several foundational calculus concepts, including "cross product," "linearization," "total derivative," "Chain Rule," and "implicit differentiation." The…

This paper describes a model of mathematics bianshi teaching using one problem with several solutions, changes, and applications in an inquiry-based classroom. Based on the model of mathematics bianshi teaching, the author discusses a class-room experience where one Chinese mathematics teacher takes a simple plane geometry problem to guide…

In this paper we focus on Norwegian first-year engineering students' interpretations of differentials and definite integrals. Through interviews with 15 engineering students, we investigated how the students interpreted the different symbols involved in the Fundamental Theorem of Calculus (FTC), as displayed in the textbook used in their calculus…

We developed a remote lab experience where freshmen grew and analyzed the activity of sourdough starters as a means of engaging with chemical engineering concepts. This six-week hands-on activity was targeted due to its low-cost, non-hazardous materials, and ability to be conducted safely in a non-laboratory setting. By designing the lab to be…

The present study has two main goals. First, it aims to examine the analogies an instructor uses about "DNA conservation across generations" in a university-level General Biology course. Second, it aims to examine the analogies used in those lessons according to Thiele and Treagust's framework. A qualitative case study design is adopted…

This qualitative, multiple case study provided comprehensive descriptions of the conceptual difficulties and learning experiences of in-service teachers as they improved their ability to effectively model fraction division with pictorial diagrams. Video data were collected on eight teachers as they individually progressed through a professional…

This study explores calculus students' opportunities to learn the concepts of integral by examining one mathematician's videotaped lessons and the textbook. The results show that both lessons and textbook introduced important cognitive resources very briefly and focused on procedures and techniques of integration. Implications to these results…