Holistic Approach To Mathematics As A Discipline & Subject
- types of problems it addresses
- methods it uses to address these problems
- the results it has achieved
Mathematics relies on both logic and creativity, and it is pursued both for a variety of practical purposes and for its intrinsic interest. Primary and Secondary Mathematics however should focus on a holistic definition encompassing all facets of the subject as a discipline. I would like to explore, again another category generally believed to address Mathematics in its totality:
Mathematics as the prime human endeavor
We teach Reception and all Primary measurement of time for example, years, months, weeks, days, hours. We also teach distance measurement that developed throughout the world. For some people, the essence of mathematics lies in its beauty and its intellectual challenge. Because mathematics plays such a central role in modern culture, students need to perceive mathematics as part of the human endeavor, comprehend the nature of mathematical thinking, and become familiar with key mathematical ideas and skills.
Students and us as teachers tend to define mathematics in terms of what they learn in mathematics class. The instructional and assessment focus tends to be on basic skills and on solving relatively simple problems using these basic skills, this is only part of mathematics.
Beauty in Mathematics
It is important to study enough mathematics so that students understand and appreciate the breadth, depth, complexity, and beauty of the discipline. Mathematicians often talk about the beauty of a particular proof or mathematical result. G. H. Hardy was one of the world’s leading mathematicians in the first half of the 20th century. In his book “A Mathematician’s Apology” he elaborates at length on differences between pure and applied mathematics.
Mathematics is an aid to representing and attempting to resolve problem situations in all disciplines. It is an interdisciplinary tool and language.
Mr Hebert Tapfuma
High School Mathematics