The literature emphasizes the interest and need to learn the concept of continuity with understanding, although this meaning it is not consensual nor specified how it may emerge and be developed in the learning process. In this paper we report the results of a study aiming to analyse Brazilian preservice mathematics teachers' understanding of the…

Building conceptual knowledge that generalizes to novel situations is a key function of human memory. Category-learning paradigms have long been used to understand the mechanisms of knowledge generalization. In the present study, we tested the conditions that promote formation of new concepts. Participants underwent 1 of 6 training conditions that…

This study introduces inferentialism and, particularly, the "Game of Giving and Asking for Reasons" (GoGAR), as a new theoretical perspective for investigating qualities of procedural and conceptual knowledge in mathematics. The study develops a framework in which procedural knowledge and conceptual knowledge are connected to limited and…

"When you hear hoofbeats, look for horses, not zebras." This common saying in medicine (often attributed to Theodore Woodward, MD, of the University of Maryland School of Medicine) advises doctors to stick to the expected or likely diagnosis, rather than anticipating an unusual or atypical one. As a result, uncommon medical diagnoses are…

This article shares the learning experienced by my seventh-grade students during a lesson incorporating LEGO robotics into my mathematics class. I provide evidence of my students' learning, which represents how LEGO robotics can benefit students in the mathematics classroom to support engagement and development of understanding.

The affective domain and its impact on science achievement has been studied with increasing attention over the past decade. However, there has been little empirical work on how individual interest, and facilitation of situational interest in the classroom, facilitates learning of concepts within fine-grained units of instruction. Drawing upon…

The main objective of the study was to determine Pre-service Chemistry Teachers' (PCTs) understanding of isomerism related concepts of Aliphatic Hydrocarbons (AHs). To get in-depth picture of PCTs understanding on isomerism related concepts of AHs, case study was employed. The sample for this study consisted of twelve participants selected from 87…

"Sinorhizobium meliloti" is a bacterium of great agroeconomic importance because of its ability to fix atmospheric nitrogen in symbiotic association with alfalfa ("Medicago sativa") roots, and it is often used in model studies. We investigated the effects of exopolysaccharides (EPSs) in cell-to-cell and cell-to-surface…

This paper gives a blueprint for reacting to the various issues that an instructor will face in their day-to-day life as the manager of a Mastery-Based Testing (MBT) classroom. For example, I created a rubric to compare traditional testing with MBT, adapted my office hours to accommodate more retake opportunities, and required effort between…

Global economic and societal shifts are causing movement from manufacturing economies to knowledge and information industries. As a result, learners must be equipped with the 21st century skills necessary for lifelong skill development and prosperity. Communication is identified as one of the essential 21st century skills for preparing students…

An Australian longitudinal study of 319 Kindergartners developed, implemented and evaluated an intervention, the Pattern and Structure Mathematics Awareness Program (PASMAP). It comprised of repetitions and growing patterns, structured counting and grouping, grids and shapes, partitioning, additive and multiplicative structures, measurement and…

Past studies have explored the role of student science notebooks in supporting students' developing science understandings. Yet scant research has investigated science notebook use with students who are learning science in a language they are working to master. To explore how student science notebook use is co-constructed in interaction among…

Many learners possess misconceptions regarding instructional content; toward this aim, educational practitioners employ teaching practices that support learners' efforts to restructure their existing knowledge structures--a process known as conceptual change. The Cognitive Reconstruction of Knowledge Model emphasizes the importance of conceptual…

This article uses action-process-object-schema theory to study the mental constructions about the limit of series during a Calculus 1 course at a university. The researchers also used the theory's teaching methodology to teach the topic. A plethora of research on the limit concept is available and suggests that the concept is on record as being…

The advanced organic chemistry experiments describe the preparation of fused six-membered lactams to isoxazole and isoxazoline by employing Ugi four-component reaction (U-4CR) and intramolecular nitrile oxide cyclization (INOC) synthetic sequence. The experiments were carried out in 28 h (overnight for U-4CR) and 2 h (for INOC) using commercially…