Knowledge Categorisation: Restructured Digitized Mathematics Textbooks using CMS and Microsoft OneNote
We are currently in the process of restructuring and categorizing knowledge contained in our second year (Gymnasium) Mathematics textbooks in relation to both Text Analysis and Methods and Strategies of Problem Solving.
’Text analysis’ refers to the already existing OneNote tags as applied to:
Theory
- Activities
- Examples
which are
Introduction
- Definitions and Special Cases
- Direct Effect of Definitions
- Properties-Proofs-Theorems
For knowledge categorization we use the following OneNote tags (agreed upon by our Mathematics Department):
- Formulation
- Observation
- Recall
- Description
- Relations Identification
- Concept
- Related Concepts
- Direct
- Inverse
- Suggestion
- Hypothesis
- Conclusion
- Generalisation
- Identifing contradictions
Methods and Strategies of problem solving
We use the following ags:
- Methods and Applications
- Comprehension Questions-Exercises
- More exercises
- Lesson plan
as applied to
- Exercises
- Problems
- Understanding, Questions (school book)
Every textbook exercise is tagged based on our methodology which we use as a basis for applying general and specific heuristics with a view to developing students’ mathematical skills.
We classify knowledge as follows:
Language
Knowledge of spoken language (e.g. separating a sentence in different parts of speech, comprehension of the meaning of different words) as applied to maths.
Pragmatic
Knowledge that relates to the use of mathematics in everyday life (e.g. units of measurment)
Model
Knowledge of different types of problems (e.g. the difference between the problems that have to do with Work and problems that have to do with Motion)
Strategic knowledge
Knowledge related to developing and observing (or monitoring) a ‘solution plan’.
Algorithmic
Knowledge which refers to procedures used to implement a (pre-planned) process (e.g. ‘division’)
Finally, new OneNote tags on which we have now decided in relation to problems and exercises are:
- Combination
- Construction
- Application of a given procedure
- Consolidation and Understanding
The new OneNote tags in the comprehension questions are:
- True – False
- Multiple-choice
- Gap filling
- Matching
- Critical thinking
English Department Psychico College
The English Department of Psychico College has digitized selected ‘famous’ speeches in our effort to help students become more effective speech writers. We have incorporated this work into our core curriculum in all programs for year one high school students. In addition to tagging the speeches, the department will enrich them in a variety of ways with the help of technology so as to integrate practice of basic skills, but in a way that caters to all learning styles.