Although cognitive load (CL) and self-regulated learning (SRL) have been widely recognized as two determinant factors of students' performance, the integration of these two factors is still in its infancy. To further specify why and how CL links with SRL, we first conducted an overview to describe the multiple dimensions of cognitive load (i.e.,…

The Cell Phone modeling task centers on a Fermi real-world estimation question. The task and rubric can be used at different grade levels to focus on the modeling process and classroom community. Finding time and space to engage students, especially novice modelers, in mathematical modeling can be a challenge, yet the benefits of modeling are…

This paper is part 5 of a series of workshops that examines the properties of some simple models of vocabulary networks. While previous workshops dealt with activating words in the network, this workshop focuses on vocabulary loss. We will simulate two possible ways of modelling attrition: (a) explicitly turning active words OFF, and (b) raising…

In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…

An extended (and probably unnecessary) parallel is drawn between engagement in mathematics and engagement in musical performance. Key facets of engagement are described and a model of how mathematics engagement plays out in task-level activities is discussed in light of new findings related to its social and emotional facets. Implications for…

Given that the primary task of teaching is to teach the content of physical education, attention to how instructional tasks operationalize the curriculum and progress learning is essential knowledge for teachers. Task progression in physical education occurs when tasks are designed to successively and incrementally present physical education…

In this article we focus on the co-creation of ideas. Through the use of concepts from collaborative learning and communication theory we suggest a model that will enable the cooperative nature of creative design tasks to emerge. Four objectives of the model are stated and elaborated on in the paper: that the model should be anchored in previous…

We present the design of a citizen science system that uses machine learning to guide the presentation of image classification tasks to newcomers to help them more quickly learn how to do the task while still contributing to the work of the project. A Bayesian model for tracking volunteer learning for training with tasks with uncertain outcomes is…

Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…

In response to increasing teacher interest in how to design and implement effective challenging tasks, James presents the Launch/Explore/Discuss model that builds on the work of leading Australian educators and researchers Peter Sullivan, Doug Clarke, and Charles Lovitt.

Addressing the disparate levels of aural skills that students may have acquired through their daily musical experiences prior to formal schooling can be difficult. Placement tests within the Western classical musical tradition typically involve structural decoding and formal concepts of elementary music theory. In this manuscript, we discuss the…

Three mathematics education researchers discuss their findings on the use of diagrams in math instruction for English language learners. The authors show how diagrams can help students who are English learners better develop mathematical thinking and communicate their mathematical understanding.

This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…

This article demonstrates how, at a time when learners may be experiencing fear and chaos in other aspects of their lives, a focus on language task engagement is essential across both online and offline language learning contexts. It presents a model of language task engagement and describes why and how teachers can use it to support learner…

This paper suggests six areas of vocabulary research which the author believes would be fruitful for future research. They include (1) developing a practical model of vocabulary acquisition, (2) understanding how vocabulary knowledge develops from receptive to productive mastery, (3) getting lexical teaching/learning principles into vocabulary and…