The design of algorithms is one of the hardest topics of high school computer science. This is mainly due to the universality of algorithms as solution methods that guarantee the calculation of a correct solution for all potentially infinitely many instances of an algorithmic problem. The goal of this paper is to present a comprehensible and…

While reports of teachers' use of curriculum materials are common, that of teachers as designers of their own materials are far less so. We argue that these (rare) instructional materials, defined as materials that are classroom-ready and that carry the teachers' actual instructional goals, are 'objects' that are suitable as records of teachers'…

Mathematical concepts have been a consensus goal for decades, yet there is little consensus on what is meant by the terms "mathematical concept" and "mathematical understanding." This article attempts to discuss these terms in a way that can be of practical use to teachers. Greater clarity on "mathematical concept"…

This paper introduces CoCo, a system designed to support and encourage collaborative learning among colocated students sharing a single mobile device. It provides teachers with the possibility to create digital lessons, configure parameters for collaborative activities such as the number of students and tablets, and monitor students' progress. On…

Teaching intercultural communicative competence (ICC) is still a challenging goal to achieve in English as a Second/Foreign Language (ESL/EFL) education. ESL/EFL instructors teaching in textbook-based educational contexts require more tangible approaches to designing and implementing purposeful intercultural language teaching that amplifies the…

Teacher residencies have been an ongoing discussion in the educator preparation world for nearly a decade. This paper describes a promising practice in program design at a university that offers alternative pathways to licensure to meet the demands of school districts, especially in economically disadvantaged communities in one region of the…

For students to develop adequate conceptual understanding about fractions, they require experiences that afford them opportunities to think flexibly about multiple interpretations of fractions. This article presents a sequence of lessons designed to offer such experiences for students in Years 3 and Year 4. The lessons adopt a challenging tasks…

In schools, a lesson functions as an individual building block to support the learning of new material. Experts have identified key elements in an effective lesson, and education leaders--including school based administrators, instructional coaches, department and grade-level chairs--usually look for these elements when reviewing lesson plans and…

Digital curricula can constrain teachers with ready-made instructional materials. The authors used Mathematics Teaching Practices (MTPs) to modify a digital curriculum to engage students in more thoughtful and meaningful lessons. In this article, the authors visit one of their third-grade classrooms, in which they used the prescriptive digital…

Graduate teaching assistants (GTAs) who run independent sections for larger lecture courses typically receive insufficient feedback. Course evaluations, already flawed by numerous biases, offer an amalgam of student reactions to lecture and section, even when comments specifically laud or criticize section instructors. Course designs also vary…

In this paper, we discuss what creativity may look like in the science classroom and what we learnt from teaching with student-generated diagrams to promote creativity in Year 7 Science lessons. As a result of this study, most students were able to communicate a deeper understanding of complex phenomena and were able to apply this knowledge both…

In this article, the authors describe the redesign of a first-semester Spanish course at the United States Air Force Academy due to the COVID-19 crisis and the subsequent transition from traditional, face-to-face instruction to fully online language teaching during the fall of 2020. More than 200 learners were enrolled across 11 course sections…

As well-developed as they may be, standards are not curriculum. It is the job of teachers and curriculum teams to use the Standards as the basis for designing the specific pathway for teaching and learning. In this article, the authors explore the use of Understanding by Design (UbD), a widely-used curriculum development framework, for honoring…

Undergraduate mathematics instructors are called by many current standards to promote prospective teachers' learning of geometry from a transformation perspective, marking a change from previous standards. The novelty of this situation means it is unclear what is involved in undergraduate learning and teaching of geometry from a transformation…

Middle and high school students are part of Generation Z (birth years 1997-2012), a group that is emerging as very different from their parents and teachers. This article considers ways that generational research about Generation Z learners and NCTM's Effective Mathematics Teaching Practices can be used to inform and innovate practice in the…