Author Information
TT HW-5
Folder:
academic writing Course: TT
Batch: 11
Home Work (Day-06)
Date of Submission: 3rd December 2016
Candidate: Dr. Zayed Bin Zakir Shawon
Class: A-level, Class- 11-12
Age: 15-18 yrs
Topic Taught: Mathematics
Class Duration: 40 minutes
Q1. Which teaching methods will ensure all 4 C’s (Creativity, Critical thinking, Collaboration, Communication) in both teaching and learning process?
Answer:
According to me, the following teaching methods includes all the 4 C’s-
|
Teaching Techniques |
Mathematics topic (Example) |
Presence of 4 C’s |
|
Assumption Busting |
Function |
Creativity- Identifying functions distinctly from general relations Critical Thinking- Imposing the domains and sketching graphs. Collaboration-Peer Discussion can be incorporated. Communication- Different types of restrictions in Domains, students can discuss with teachers and among internal groups. |
|
Brain Storming |
Vectors |
Creativity- Identifying vector planes and drawing 3D diagrams Critical Thinking- Finding Distance from a point to line by vector diagram Collaboration- Group works, one group can find dot product while other can solve by cross product then share their works. Communication- Different types of vector multiplication in Domains, students can discuss with teachers |
|
Concept Mapping |
Definite integrals |
Creativity- To find the reason that why
type integrals represent the area under the curve. Critical Thinking- How the Trapezium rule can be used to solve critical definite integrals. Collaboration- Group works, one group can find integrals in general method and another group by trapezium rule and then compare results. Communication- Students can present their activities in group and can explain over-estimation and under-estimation by trapezium rule. |
|
Questioning activity |
Implicit functions |
Creativity- identifying implicit and explicit function and giving task to form new types of such equations. Critical Thinking- How to differentiate a implicit function and who it is different from normal functions Collaboration- peer works can be done on both finding the tangent and normal equation to the curve. Communication- Teacher can interact with students through verbal communication regarding their understanding level and verbal assessment/quiz can be taken. |
|
Laddering |
Logarithm Application |
Creativity- How to use log function to fabricate a power equation to a straight line equation Critical Thinking- Finding any differences if the base of logarithm changes Collaboration- Group works, one group can find graphical solution while another numerical. Communication- students can present their findings and open discussion can take place among the students. |
Q2. Mention at least 2 teaching methods which will ensure all 4 C’s and how. Write in a descriptive and reflective way.
Answer:
As I have mentioned earlier, I am teaching mathematics among the adult kids, as a teacher I have to plan my lessons and think critically so that my teaching methods meets up all the 4 C’s in the class by fulfilling the learning aspects. I will discuss about Brain Storming and Laddering methods which I had found effective in my class-
1. Brain Storming:
As I have to deal with students who all have science background, they almost all love to do brainstorming works. Just giving those solving problems from books only make them inefficient sometimes. For these reasons I have to switch over different resources and plan for brain storming mathematical problems for them to solve.
Reason:
According the CIE syllabus, the examination questions are very innovative and some parts are really needed critical thinking to solve. The A-level mathematics questions are very much innovative and they do not match with the book directly. So, I had found that, students must be motivated to more on brainstorming thinking level so that they can solve their mechanics problems. Without Brain-storming, solving the force-balancing is quite impossible for a student to solve.
How Brain-storming works-
I have clearly observed in mechanics class that, students must need brain-teasing work to draw the force balance diagrams. That helps them to be more creative in thinking. After Drawing the students need to identify the force components along the plane and perpendicular to the plane. For which they need to think the problem critically because whether mass is required or not, whether frictional coefficient will be taken, whether the body accelerates and so on. Sometimes the students need to solve combined problems with statics and dynamics together. Peer works helps them a lot. Students are divided into small groups. Some of them solve the static part while some solve dynamics part. Then they join the problem together to get the whole picture. This goes directly with collaboration and communication among each student.
2. Laddering
For mathematics and science students, laddering method is obviously a good teaching method. As a teacher I gave them some idea and they build up or concentrate the whole concept step by step to come up with a suitable conclusion.
Reason:
Mathematical problems incorporated with trigonometric quadratic equations greatly require laddering techniques. They are a very frequently appearing topic in the examination and students are very much concerned about this topic. Most of the time, because of lacking of development of proper logical propagation, students fail to answer them or write the wrong interpretations.
How Laddering works-
Students need to correlate with their previous knowledge with the new topics. They need to be creative to draw the butterfly-diagram of angles and find the accurate quadrant position. Student need to think critically for the conversion between two mutually complementary trigonometric functions. Slow learners may find it difficult to find all the angles after different revolutions. I observed in the class that, group activities like peer coaching acts magically on them, and even the slow learners comes up with question which helps the teacher to identify their real situation of understanding. Thus Collaboration and communication really works within the class solving trigonometrical problems which are full of logical approaches.
