Most of us experienced the love-hate relationship with Maths during our time in school. We had less than effective teachers to guide us in thinking critically in problem-solving maths. Today, effective and experimental teachers encourage students to explore ideas to problem-solve the maths concepts. Hence, effective teachers can produce well-effective students too.
I am not familiar with almost half of the maths concept except for number and operations which I think I am quite good with. Well, its the easiest of the lots and also, with the help of technologies i.e. using calculator.
As for the rest, I am very sure I might take longer period of time, probably days for me to solve the problems.
The knowledge collected from the 6 Principles of Principals and Standards, surprised me so much as I thought that as long as teachers know the basic route in finding answers to the problems, there will be no issues for students to understand and grasp what the teachers are teaching. These principles; equity, curriculum, teaching, learning, assessment and technology are an eye-opener for teachers to take note of before deliver the knowledge of mathematics to the students.
Also, not forgetting the Five Process Standards in which the students can grasp and use the mathematical knowledge.
- Problem Solve: Students develop mathematics through problem solving.
- Reasoning and Proof: Guide students in deciding whether the answers make sense.
- Communication: Talk about, write about, describe, and explain the mathematical concepts.
- Connections: See how concepts build on another in a network of connected ideas, and be connected to the real world and to other disciplines.
- Representation: Emphasizes the use of symbols, charts, graphs, manipulatives, and diagrams as great methods of expressing the ideas and relationships.
Chapter 2There are some interesting ideas to solve the mathematical problems that do require higher-level of thinking and reasoning that I have never contemplate of doing in different ways. As quoted by Walt Disney, "We keep moving forward, opening new doors, and doing new things, because we're curious and curiosity keeps leading us down new paths". Therefore with the teachers learning and knowing maths, students will develop deep understanding on the subject matter.