School Certificate Mathematics

High School Mathematics Pathways

Defining the Two Pathways For the purposes of planning for high school curriculum, Indiana Department of Education (IDOE) is setting forth two possible paths for high school mathematics: a traditional pathway and an integrated pathway. It is important to note that Indiana is not mandating either approach; however, IDOE encourages districts to carefully consider both options before making a deci...

The trace of realistic mathematics education in the school mathematics in Iran

Abstract: In the late 70's, in reaction to both "New Math" movement in the United States and "mechanistic mathematics education" approach to mathematics education in Netherland, Realistic Mathematics Education (RME) has been introduced by Freudenthal and his colleagues. In this educational approach, Freudenthal considered mathematics as a human activity. Based on this approach, education should...

Doing High School Mathematics Carefully

We show how solutions to typical problems of High School and rst-year University mathematics can be written using structured derivations. Such a derivation extends the calculational proof format with subderivations that allow inferences to presented at diierent levels of detail. By using structured derivations and a minimal amount of logical syntax, we can write solution to typical problems in ...

Intelligent Tutoring and High School Mathematics

Understanding the Cultural Construction of School Mathematics

For more than twenty years I have been observing, video-recording and analysing mathematics teaching in various European countries. In addition, due to the generosity of my graduate students and other colleagues, I have acquired video recordings of mathematics lessons from several other European countries. My interpretation of all this material has led me to two conclusions. The first, as found...