Despite the introduction of Common Core State Standards and the National Council of Teachers of Mathematics urging educators to explore fundamental concepts in mathematics at a deeper level, the majority of mathematics education has remained aimed at initial skill acquisition. The result has led to students learning to mimic a standard set of…

This study examined children's learning when they played 12 digital math games to understand how design features promoted children's awareness of the affordances in the games, and how this contributed to their learning. Elementary-aged children (N=193) played three digital math games during 60-minute interviews. We collected quantitative (pre-post…

Moving among levels of abstraction is an important skill in mathematics and computer science, and students show similar difficulties when applying abstraction in each discipline. While computer science educators have examined ways to explicitly teach students how to consciously navigate levels of abstraction, these ideas have not been explored in…

The paper presents the use of spreadsheets integrated with digital tools capable of symbolic computations and graphic constructions in a master's level capstone course for secondary mathematics teachers. Such use of spreadsheets is congruent with the Type II technology applications framework aimed at the development of conceptual knowledge in the…

The CCSS is a set of standards released by the National Governors Association in 2010 and was adopted by 43 states (Common Core, 2015). The standards describe what students should know and be able to do in each subject in each grade. They are designed to be academically rigorous, while attainable for students and practical for teachers to teach.…