We introduce the concept of the "sequence of the ratios of convex quadrilaterals," identify some properties of these sequences and use them to provide new characterizations for some classic quadrilateral families. The research involves aspects of geometry, arithmetic and mathematical analysis, which converge to produce the results.

Graphing is a complex and critical skill for behavior analysts. We evaluated the effects of conceptual training modules and feedback checklists on verbal behavior about graphing conventions and adherence to graphing conventions with graduate students in behavior analysis. In Experiment 1, conceptual training increased the accuracy of verbal…

This study analyses the potential of a learning analytics (LA) based formative assessment to construct personalised teaching sequences in Mathematics for 5th-grade primary school students. A total of 127 students from Spanish public schools participated in the study. The quasi-experimental study was conducted over the course of six sessions, in…

Strengthening Learning Progression (LP) for students' reasoning abilities is important, especially learning about diseases in Indonesia. This study aimed to map the learning progression of disease in Indonesia, compare and analyze its similarities and differences with the LP designed by National Research Council (NRC). This qualitative research to…

"Instructional Sequence Matters, Grades 9-12" is the one-stop resource that will inspire you to reimagine your approach to high school physical science. The book discusses the 5E (Engage, Explore, Explain, Elaborate, and Evaluate) as a specific pathway for teaching and learning. It also shows how simple shifts in the way you arrange and…

We are pleased to bring you this follow-up to Mairéad Hourigan and Aisling Leavy's article [EJ1289314] that was published in issue 1 this year. In this contribution, they demonstrate that embedding mathematics within a rich context and learning sequence assists with the consolidation of student understanding and makes more effective use of teacher…

Reporting on a Grade 4 teaching and learning sequence, we highlight foundational constructs of measurement and data modelling which are fundamental to competence development in both science and mathematics. The sequence involved students generating and representing measures of their teacher's arm-span, with a focus on the invention and refinement…

In recent years, the popularity of alphabet books has spread into older grades, as they address a variety of themes and can be used across disciplines. Their complexity can stimulate thinking and offer a world of possibilities in the area of research. Students of all ages are motivated to create an alphabet book on a self-selected topic. The…

Electrochemistry is the area of chemistry that studies electron transfer reactions across an interface. Chemistry education researchers have acknowledged that difficulties in electrochemistry instruction arise due to the level of abstraction of the topic, lack of adequate explanations and representations found in textbooks, and a quantitative…

This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional…

Quality sequence in the social studies is of utmost importance. Sequence emphasizes "when" selected concepts should be stressed in ongoing lessons and units of study. The social studies teacher needs to observe pupils carefully in teaching and learning situations to ascertain suitable, ordered experiences for pupils. Pupils face frustration if the…

The learning cycle has been embraced as a teaching approach that is consistent with the goals of the "National Science Education Standards" (National Research Council, 1996). Science teacher educators may be disappointed to find, however, that preservice teachers may fail to grasp this model, even after extensive instruction (e.g., Settlage,…

A sequential, problem-solving approach is offered as a strategy for the classroom teacher who wants to help the student increase his skills of inquiry, conceptual learning, and value clarification. (Author/KM)

The 9th International Conference on Educational Data Mining (EDM 2016) is held under the auspices of the International Educational Data Mining Society at the Sheraton Raleigh Hotel, in downtown Raleigh, North Carolina, in the USA. The conference, held June 29-July 2, 2016, follows the eight previous editions (Madrid 2015, London 2014, Memphis…

This first in a series of seven related teaching guides that together outline a public school district's English language arts curriculum for kindergarten through grade six focuses on a course of study for kindergarten. The guide explains the district's overall philosophy and teaching goals and the philosophy behind the development of the…