Reimagining elementary mathematics pedagogy using a three-step process--See It, Say It, Symbolize It--author Patrick L. Sullivan provides a guide for developing a dynamic and flexible understanding of numbers and operations. By helping students develop a language that is consistent across concepts and connecting it to what is seen and symbolized,…

Science teachers can always benefit from efficient tools that help students to engage with the subject and understand it better without significantly adding to the teacher's workload nor requiring too much of class time to manage. Reflective writing is such a low-impact, high-return tool. What follows is an introduction to reflective writing, and…

A Concept-Based Curriculum is designed to help students uncover important, transferable understandings about what it means to be a capable reader, writer, speaker, viewer, listener, and thinker. But, too often, a well-designed, conceptual curriculum does not translate into conceptual teaching. "Concept Based Literacy Lessons" helps…

In this paper we present the main lines of a course on the history of mathematics for prospective secondary school (students' age range 14-19) mathematics teachers, enrolled on a 2-year postgraduate teacher preparation program. In order to integrate the historical objectives with the educational objectives of the program we adopted the…

Argumentation is one of the central practices in science learning and helps deepen students' conceptual understanding. Students should learn how to communicate ideas including procedure tests, data interpretations, and investigation outcomes in verbal and written forms through argument structure. This article presents a negotiation model to…

This teacher research study explores the changes in early childhood teacher candidates' perceptions of how children construct and represent knowledge following repeated exposure to "The Wonder of Learning: the Hundred Languages of Children" exhibit. When the renowned exhibit from Reggio Emilia was housed on the study participants' campus for 6…

The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…