The University of Tennessee has a Master of Mathematics (M.M.) program for secondary educators interested in college-level teaching. The program includes a capstone course on topics related to college-level teaching and can be thought of as a kind of professional development which allows secondary educators to explore options for their careers.…

By highlighting the curriculum modifications that lead to maintaining, or enhancing, the mathematical quality of an algebra lesson introducing the substitution method for solving systems of equations from an algebra textbook, we present an analysis of how a teacher and her students impact how the mathematical ideas unfold across the lesson and how…

To meet the demand of the incoming school curriculum reform focusing on competency-based learning in Vietnam, this paper reports on an innovation project on developing secondary mathematics preservice teachers' (PSTs) mathematical literacy and preparing them to teach mathematics contextually. We developed a curriculum and studied the effectiveness…

Sequencing contents is of great importance for instructional design within the teaching planning processes. We believe that it is key for a meaningful learning. Therefore, we propose to formally establish a partial order relation among the contents. We have chosen the binary relation "to be a prerequisite" for that purpose. We have…

Data science is emerging as a field that is revolutionizing science and industries alike. Work across nearly all domains is becoming more data driven, affecting both the jobs that are available and the skills that are required. As more data and ways of analyzing them become available, more aspects of the economy, society, and daily life will…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…

School-based agricultural education programs provide contextualized learning environments for the teaching of core academic subject matter. This study sought to examine the mathematics efficacy and professional development needs of Wyoming agricultural education teachers related to teaching contextualized mathematics. Wyoming agricultural…

The National Research Center for Career and Technical Education (NRCCTE) has undertaken three scientifically based research studies in an effort to determine whether the integration of career and technical education (CTE) courses with academic content can increase student achievement. These include the Math-in-CTE study, completed in 2005 (also…

For the nearly 39 million U.S. adults who do not have a high school diploma, the General Educational Development (GED) programs and exam have served as the main avenue for improving individuals' skills and helping them earn a high school credential. However, few students who start these programs ever get this credential, and even fewer advance to…

As part of its National Science and Engineering Week activities in 2009 and 2010, the University of Reading organised two open days for 60 local key stage 4 pupils. The theme of both open days was "How do we predict weather and climate?" Making use of the students' familiarity with weather and climate, several concepts of relevance to secondary…

Increasing the share of vocational secondary schooling has been a mainstay of development policy for decades, perhaps nowhere more so than in formerly socialist countries. The transition, however, led to significant restructuring of school systems, including a declining share of vocational students. Exposing more students to a general curriculum…

The development of the new mathematics curriculum of the late 1950s is examined in light of current calls for changes in the instructional program. Thoughtful, imaginative reform that offers radically new models of approach to teaching mathematics is called for. (MP)

The good and bad points of Euclidean geometry and transformation geometry are briefly surveyed with emphasis on the teachability of Euclidean geometry and the mathematics of transformation geometry. (MN)

Few people view or teach geometry properly--as one of the ways in which we try to communicate our surroundings and understand certain aspects of reality. (MP)

Explores the history of geometry at the secondary level and discusses criticisms, suggested revisions, and reasons for the lack of evolution in secondary geometry. Recommends that teachers develop a broader knowledge of geometry, use supplements to the textbook, advocate changes in textbooks and tests, utilize coordinate geometry, and rethink the…