Learning progressions represent a set of skills or pieces of knowledge ordered sequentially from least to most complex. This sequence can guide instruction as well as assessment content. This paper describes several useful methods for validating learning progressions including validating the relationship between the progression and student…

The distinction between procedural and conceptual learning has long been a topic of discussion in mathematics education and the idea of compression into thinkable concepts that enable the individual make links between them (Tall, 2007). In addition to, the compression to thinkable concept was to be thinking mechanism arising naturally and…

Find out how to use photographic images to support the conceptual development of proportional thinking. This paper provides insight into a sequenced activity that promotes student engagement and makes links to familiar and unfamiliar contexts.

This report describes the implementation of arts-based instruction during in-school and out-of-school times. Specifically, it summarizes the results of four components of the inventory: (a) sequential fine arts instruction during school, (b) community arts experiences during school, (c) out-of-school time arts opportunities on campus, and (d)…

Adventure-based learning (ABL) consists of highly structured physical activity with periods of reflection (i.e., debrief) that help promote personal and social development. It can be used as a valid curriculum in physical education to promote intrapersonal and interpersonal relationships. This type of curriculum can also help physical educators…

This article promotes the use of mathematically appropriate, engaging and challenging tasks to support learning that is worthwhile. The authors share insights from a three-lesson design experiment and the three tasks along with the results from their implementation are explored.

A theory devised initially on the basis of instrumental reward schedule data, such as the PREE, was extended to deal with various Pavlovian findings. These Pavlovian findings include blocking, unblocking, relative validity, positive and negative patterning, renewal, reinstatement, reacquisition, and inhibition. In addition, the sequential model…

Teaching the acoustic properties of materials is a good way to teach physics concepts, extending them into the technological arena related to materials science. This article describes an innovative approach for teaching sound and acoustics in combination with sound insulating materials in secondary school (15-16-year-old students). Concerning the…

This report summarizes recommendations from NCTM, NRC, CCSSM, NMAP, and IES to guide early numeracy instruction for elementary age students in general and special education classroom settings. We highlight common threads among general and special education research recommendations and provide a numeracy intervention curriculum model connecting…

In honor of Dr. Katherine Butler's extraordinary leadership of "Topics in Language Disorders," this article takes up her 1982 challenge to reach toward greater understanding of individual differences in the use of oral and written language by children with language learning disability. The article focuses on 3 interconnected dimensions of learning…

Practitioner concerns and the changing educational marketplace are pressuring colleges to provide more skills based learning. Among the newer skill based areas of study that is greatly in demand is professional sales. In this paper, two courses in a successful professional sales program are examined through the lenses of experiential learning…

Even when two-digit numbers are irrelevant to the task at hand, adults process them. Do children process numbers automatically, and if so, what kind of information is activated? In a novel dot-number Stroop task, children (Grades 1-5) and adults were shown two different two-digit numbers made up of dots. Participants were asked to select the…

In an activity sequence that took place over several days, the class learned about sound and how people hear sounds. Following each activity, students engaged in whole-group sharing sessions and individual journal-writing sessions that were designed to help them see the patterns that emerged from their explorations. The activities were carefully…

Dynamic geometry software (DGS) is often used for development of interactive teaching materials in many subjects, not only mathematics. These interactive materials can contain hundreds of elements in order to represent complex objects, and script programs to control their behavior. We propose an approach for creating, importing and using…

In this article we propose a five-step sequenced approach to integrative interdisciplinary learning in undergraduate gateway courses. Drawing from the literature of interdisciplinarity, transformative learning theory, and theories of reflective learning, we utilize a sequence of five steps early in our respective undergraduate gateway courses to…