This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

The development and use of learning trajectories is a body of research that has made enormous contributions to the field of mathematics education, offering insight into the teaching and learning of topics at all levels. Simultaneously, the work of building learning trajectories can benefit from explicitly adopting an anti-deficit stance,…

Emphasis in teaching and learning statistics has shifted from memorizing formulas and procedures to investigating situations, creating models, and using data to understand problems. The Common Core State Standards for Mathematics (CCSSM) (NGA Center and CCSSO 2010) Grade 8 Statistics and Probability content standards drive this point home.…

The Responses to Educational Disruption Survey (REDS), conducted by the International Association for the Evaluation of Educational Achievement (IEA), studied how teaching and learning were affected by the disruptions caused by COVID-19 and aimed to paint a picture of national responses to the global pandemic. REDS was based on the premise that…

Imagine walking into an 8th-grade science classroom and hearing a discussion among students about a challenging assignment they recently completed. A pilot program in 18 Tennessee schools develops agency through competency-based education. Students in Beth Hines' 8th grade physical science class at West Collierville Middle School in Tennessee are…

When eighth-grade students tire of writing, their history teacher must get creative to keep their attention for the next project. By applying a multimodal design to an old project, the teacher creates a new one that appeals to various learners and creative minds. The result is not only historical learning but also an opportunity to see how…

Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

The author discusses the Learning Futures programme, a partnership set up between the Paul Hamlyn Foundation and the Innovation Unit. The two organisations had previously worked together on the Musical Futures project that had involved radical new approaches to teaching and learning in secondary school music. (Contains 1 figure and 1 note.)

Meat thermometers can be awkward to use in terms of placement and avoidance of bones. Because of these problems, each year 30 million Thanksgiving turkeys have a built-in thermometer that pops up when the turkey is properly cooked. Turkey timers are an example of how engineering solved a common, everyday problem. The following 5E learning cycle…

Although teachers in principle are prepared to make use of science centers, such excursions often fail to facilitate learning processes. Therefore, it is necessary to improve the link between science centers and schools. The design and evaluation of valuable outreach projects may enhance students' out-of-school science learning. In our study, we…

Harnessing student energy for the positive use of technology in the classroom requires significant change for many educators. Students today exhibit a one-click mentality when using computers in the classroom, and are frustrated when they are not provided with instant gratification. Gone are the reading and higher level thinking skills of the pen…

The study of insects (entomology) can be used to stimulate students' interest in science and nature. It can develop students' understanding of fundamental science concepts, awareness of interdisciplinary connections, and mastery of science process skills. This teaching module provides opportunities for middle school students (Grades 5-8) to learn…

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

The authors used the 5E learning cycle (engage, explore, explain, extend, and evaluate) and a pulmonary carbon dioxide mystery to introduce eighth grade students to the study of chemistry. The activity engages students in measurement, data collection, data analysis, media and internet research, research design, and report writing as they search…

Describes how 40 middle-school students and 2 teachers design a curriculum integration program centered on student-generated learning, characterized by strong student-to-student and student-to-teacher relationships. Covers choosing the students, setting the stage, and determining what to study. Provides examples of student-developed themes. (PKP)