This paper describes outcomes from a project conducted at a small US university where 23 secondary school mathematics teachers participated in the study. Based on sketches created in a dynamic geometry software (DGS) and written responses to an assignment related to developing the trapezoid area formula, we explored how teachers used DGS when…

Students learning a defined subject only perform by learning of thinking based on the concepts forming that subjects. Otherwise, students may move away from the scientific meaning of concepts and may fall into conceptual errors. Students' conceptual errors affect their following learning and cause them resist change. It is possible to prevent this…

By the third grade, students must make the transition from learning to read to reading to learn. If they do not, they cannot do their coursework. Each year, as the grade level demands go up, students tend to fall further behind and become outsiders inside the classroom. K-3 Reading is a program that implements the mastery of reading for third…