Resources

NCTM has produced numerous beliefs (Principles to Action, 2014) concerning the teaching and learning of mathematics from research that have impeded and promoted the learning of mathematics over the last two decades. Unfortunately, many of these unproductive beliefs still impede students' learning progress today.

Struggle does not mean "needless frustration" or "overly difficult" problems but problems within a student's zone of proximal development, as defined by Vygotsky (1978). The zone of proximal development is seen as an educational target just beyond what a student can do independently when provided appropriate support. This support may be from a teacher, parent, peer, tool or technology, and is engaged with prompts, questions, and modeling. 

Inside Mathematics is a professional resource for teachers, coaches, and administrators passionate about improving students’ mathematics learning and performance.

Founded in 2011 at the University of Arizona, Illustrative Mathematics is guided and inspired by educators who work in spirited teams to do extraordinary things. The result is a comprehensive suite of math curricula, designed to encourage engaging mathematical discussion, supported by tasks, lesson plans, professional learning, and community.

Desmos Studio is a Public Benefit Corporation with a goal of helping everyone learn math, love math, and grow with math. We believe that everyone has an inner mathematician and that some people haven’t been given the opportunity, encouragement, or tools to discover theirs. So we prioritize equity and accessibility at every level of our work. Strengths of Desmos may be found in ability to create and search teacher activities and the virtual/dynamic graphing calculator.

GeoGebra is a dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one engine. In addition, GeoGebra offers an online platform with over 1 million free classroom resources created by our multilingual community. These resources can be easily shared through our collaboration platform GeoGebra Classroom where student progress can be monitored in real time. Geogebra offers a dynamic way for students to experience and learn geometry within the classroom.

Recommendations from the Science of Mathematics vary across sources and specifically target research within the mathematics and statistics communities as opposed to the science of math.

The Science of Mathematics offers research from more diverse methods that increase learning on large scale and small scale with research that spans the domains of mathematical learning.

The Science of Mathematics promotes teaching and learning of mathematics as an art of communication that builds students understanding in a Zone of Proximal Development where each student can be successful.