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The
Mathematics Department of Harare International School is committed to
providing an equitable opportunity for all students to become
mathematically self-confident and literate workers, to develop the
higher order thinking skills characteristic of fulfilled and lifelong
learners, and to utilize mathematical habits of mind in solving the
complex social and economic issues of a technological world.
The
faculty of H.I.S. believes that mathematics consists of far more than a
collection of concepts and skills to be mastered.
Integrated throughout the K-12 mathematics program are extensive
opportunities for students to recognize and explore open-ended and
non-routine problems, acquire new knowledge from which to construct
personal meaning, make conjectures and scientifically test them, discuss
and evaluate problem-solving strategies, receive feedback and revise
thinking, provide clear communication of data analysis through multiple
representations, choose the most appropriate solution for problems under
specific conditions, and back conclusions with strong supporting
mathematical reasoning and evidence.
All
the strands of mathematics are visited at each grade level, with
increasing complexity appropriate for the experience and maturity of the
students. The strands
include number and systems, patterns and algebra, geometry and
transformations, measurement and trigonometry, probability and
statistics. Students are
actively encouraged to explore and enjoy the mathematical connections
revealed within mathematics itself and between other disciplines such as
music, art, architecture, science, sociology and historical
perspectives. We believe that mathematics is a foundation discipline
which grows in direct proportion to its utility.
Therefore, the curriculum is permeated with opportunities to
discover mathematical structures and simulations applicable to many
disciplines.
We believe that instructional practices in math classes
must include regular exposure to genuine problems through project
work, individual and team tasks, active discussion among students and
with the teacher, long-term investigations, procedural practice,
reflections on construction of meaning and embedded assessment.
A genuine problem is a situation in which, for the individual or
group concerned, one or more appropriate solutions have yet to be
developed. The situation
should be complex enough to offer challenge but no so complex as to be
insoluble.
The
appropriate use of calculators and computers for processing information
during problem solving is facilitated at all levels.
This practice does not eliminate the need for students to learn
algorithms, practice estimation, and utilize paper-and-pencil methods.
It does, however, reflect our acknowledgement that technology has
altered not only the nature of the problems that are becoming important,
but also the electronic capabilities that empower students to expand and
enhance their mathematical investigations.
Elementary
School Mathematics emphasizes the empirical language of
mathematics, with activities growing out of physically modeled problem
situations. The larger ideas
that unify the mathematical experiences are quantification of things
around the students, discovering and describing patterns, and creating
representations of quantities and shapes.
Manipulatives are utilized to model familiar as well as new
situations, and students are encouraged to construct meaning by
utilizing their prior knowledge and new information.
Middle
School Mathematics, building on the elementary experiences,
extends the empirical mathematics to more symbolic and complex systems.
Manipulatives and models are utilized to construct meaning of new
concepts, but there is a shift toward building some of the abstract
language and processes of mathematics needed for continued growth.
Patterns and generalization, proportional relationships, and
multiple representation are ideas that unify middle school mathematics.
High
School Mathematics continues to solve genuine problems with
emphasis on mathematical modeling, variation, algorithmic thinking,
mathematical argumentation, and multiple representations. Students are
presented with more complex and abstract mathematical problems which are
currently encountered by cultural, academic, scientific, business, and
government groups and leaders.
In
essence, we believe that mathematics education has become a critical
filter for employment and full participation in our society.
Equity in attaining mathematical power has become an economic
necessity worldwide.
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