Answer to Question #212559 in Math for Sphesihle Zuma

Question

1.according to Shulman (1986),mathematical content knowledge and pedagogical content knowledge are integrated parts of the effective teaching and learning of mathematics. For your (the teacher) to facilitate the construction of mathematical concepts in learners' mind, you will need both pedagogical knowledge and mathematical knowledge. In the light of this information, briefly discuss what pedagogical content knowledge entails.

2.briefly explain how you could innovatively use the following strategies to facilitate your lesson.

- inquiry based learning

- problem based learning

- jigsaw

- classroom technology

Answer 1

1.According to Shulman (1986),mathematical content knowledge and pedagogical content knowledge are integrated parts of the effective teaching and learning of mathematics. For your (the teacher) to facilitate the construction of mathematical concepts in learners' mind, you will need both pedagogical knowledge and mathematical knowledge. In the light of this information, briefly discuss what pedagogical content knowledge entails.

Pedagogical content knowledge is a type of knowledge that allows scientific professors to teach rather than research. Teachers and scientists differ not just in the quality or amount of their subject area knowledge, but also in how that information is structured and used. In other words, a competent science teacher's scientific knowledge is structured from a teaching standpoint and used as a foundation for assisting pupils in understanding certain topics.

2.briefly explain how you could innovatively use the following strategies to facilitate your lesson.

- inquiry based learning

(I). Allowing students to develop questions that they are hungry to answer.

(II). Allowing students to research the topic using the time in class.

(III). Allowing students to present what they have learned.

(IV). Allowing students to reflect on what worked and what did not work in the process.

- problem based learning

Problem-based learning, through emphasizing Collaborative Learning, is a great vehicle for collaborative inquiry and learning. Collaborative inquiry is a process in which individuals participate in multiple periods of thinking and action while working in groups to answer a topic that is important to them. Collaborative inquiry include the development of a collaborative inquiry group, the establishment of conditions for group learning, acting on inquiry questions, and the construction of knowledge to make meaning.

- jigsaw

Students that use this method become experts on the subject as they educate their peers. After all groups have learned their material, they are reorganized into new groups with members from each of the small groups. Each member of the informative group shares the knowledge they acquired. This method brings teachings to life and encourages students to design their own learning. This challenge keeps students interested and motivates them to share what they've learned with others.

- classroom technology

Computers can be used for Internet access, word processing, presentations, music creation, instructional games, and other purposes. More pupils are actively engaged and thinking in a situation where each student has their own computer or they share between two or three students than in a lecture environment where they may be tuning out the speaker. This has been shown to be more successful than a typical classroom environment. In a computer context, the teacher's position shifts such that he or she is no longer the center of attention, but rather a facilitator who questions individual students about their choices and engages them in further discussion on the subject.