The development of conceptual multiplication knowledge will assist students in making progress within current mathematics standards. Previous research has shown the concrete-representational-abstract (CRA) sequence to be successful in teaching multiplication with regrouping with an emphasis on conceptual understanding while developing fluency and…

Contemporary Career and Technical Education (CTE) models have shifted from isolated courses to sequences of study that integrate academics and skills in high-demand sectors. Providing career pathways to high school students may reduce asymmetries about the available careers and strategies for attaining them but they may also catalyze students'…

A wealth of developmental research suggests that preschoolers are capable of reporting, imitating, and performing sequential actions they engage in routinely. However, few studies have explored the developmental and cognitive mechanisms required for learning how to perform such routines. A previous computational model of routines argued that a…

This article provides a validation framework for research on the development and use of science Learning Progressions (LPs). The framework describes how evidence from various sources can be used to establish an interpretive argument and a validity argument at five stages of LP research--development, scoring, generalisation, extrapolation, and use.…

We define and describe how subitizing activity develops and relates to early quantifiers in mathematics. Subitizing is the direct perceptual apprehension and identification of the numerosity of a small group of items. Although subitizing is too often a neglected quantifier in educational practice, it has been extensively studied as a critical…

This article provides a validation framework for research on the development and use of science Learning Progressions (LPs). The framework describes how evidence from various sources can be used to establish an interpretive argument and a validity argument at five stages of LP research--development, scoring, generalisation, extrapolation, and use.…

Course selection is a crucial and challenging problem that students have to face while navigating through an undergraduate degree program. The decisions they make shape their future in ways that they cannot conceive in advance. Available departmental sample degree plans are not personalized for each student, and personal discussion time with an…

The Massachusetts Early College Initiative eases the pathway to postsecondary education for thousands of high school students annually. Early college programs provide strategically-sequenced, real college classes with strong career orientations during students' regular high school day. When fully realized, they also provide enhanced academic and…

Whether to engage student preconceptions to facilitate conceptual change is an area of debate among conceptual change theorists. Here, we evaluate the efficacy of a preconceptions-based instructional sequence about groundwater previously described by (Arthurs, 2019). To assess the impact this instructional sequence had on facilitating the…

The importance of multiplicative thinking in supporting students' learning of key topics and success in further mathematics is widely and clearly stated in mathematics education literature. However, multiplicative thinking is not clearly stated in curriculum documents of many countries including Australia. In the "Australian Curriculum:…

Researchers frequently evaluate rater judgments in performance assessments for evidence of differential rater functioning (DRF), which occurs when rater severity is systematically related to construct-irrelevant student characteristics after controlling for student achievement levels. However, researchers have observed that methods for detecting…

This study reports the classroom mathematical practices proposed in an instructional sequence grounding on the principles of inquiry-based learning (IBL) through the use of the dynamic geometry software (DGS) in learning to teach geometric transformations. A 5-week instructional sequence consisting of IBL activities that were guided by the…

The quality of students' learning experience depends on the learning activities that their teachers plan prior to classroom delivery. This article characterises the lesson planning practices of a group of 27 mathematics teachers. The questionnaire and the associated information coding and analysis procedures designed for that purpose may be…

Context: Sport is an increasingly diverse context. This reality has prompted clinicians and educators to emphasize cultural competence education in athletic training. However, few efforts go beyond traditional, didactic methods and teach cultural competence in practically meaningful ways. One evidence-based approach that has potential to promote…

As science, technology, engineering and mathematics (STEM) educators in a teacher education program, it was discovered that students have commonly limited preconceptions about technology. Based on classroom experiences, when students are challenged to make a quick list regarding their ideas and examples of technology, they usually focus on…