ASSIGNMENT 1 - Critical Review of Teaching Approaches in Mathematics (1000 words).
---CRITICALLY REVIEW THREE DIFFERENT APPROACHES TO TEACHING MATHEMATICAL CONCEPT DEVELOPMENT, IDENTIFYING STRENGTHS AND WEAKNESSES OF EACH APPROACH. PLEASE INCLUDE PAST AND PRESENT KEY RESEARCH AND WRITERS IN THE AREA.
ATTACHED ARE THE MATHEMATICAL TEACHING APPROACHES FOR YOUR ADDITIONAL REFERENCE.
Please discuss the constructivism approach, Three levels of representation of knowledge: Concrete, pictorial, and Symbolic, last approach is developmental, reinforcement, drill, and practice. I will attach my discussion notes on this for your reference.
ASSIGNMENT 2 -- Compose a Philosophy Statement of the teaching approaches I intend to follow in your own classroom in relation to mathematics and how it reflects/embraces a Christian worldview (600) words.
Here, I want to follow the teaching approach called -constructivism- because it is learning by doing. It is experiential. Mathematics is repetitive and experiential.
Constructivist philosophies focus on what students can do to integrate new knowledge with existing knowledge to create a deeper understanding of mathematics. Each philosophy identifies the student as an active participant in the teaching and learning process. What a teacher does to foster the integration and extension of knowledge among students can and should vary. Indeed, Principles and Standards suggest that good teachers use different strategies at different times for different purposes.
A sample reference https://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Lee-V_-Stiff/Constructivist-Mathematics-and-Unicorns/#:~:text=A%20type%20of%20social%20constructivism,encouraged%20to%20create%20their%20own
Constructivism reflects the teachings of Jesus because Jesus is experiential too. So this is how I apply to the Christian worldview. Learn by doing. Christianity is not limited to what we hear there must be an application outward your self and learn by doing, by extending grace and love to students especially to those who are struggling. Attached is a pdf how constructivism can be applied to the Christian worldview.
That would be my Philosophy statement.