BENCHMARKING CRITERIAS Select one subject as per your specialization State about the purpose(aim) of studying the subject. How it will help students prepare for life? Define learning from the course . carrier opportunities and entrepreneurship related to the course Define scope of the subject in terms of expected learning outcomes ( loc’s ). Define the pedagogies to be adopted by the teacher for effective transaction in class room in terms of mode of delivery/ lecture method What pedagogical support a teacher would acquire like teaching aids, practical demonstration, audio-video, charts or any other supporting device etc Various task/ demos and activities to be performed by teachers to increase the understanding and competencies of students Task and activities to be performed by the students to prove their competencies Tools and technique required in practical transmission to students Possible criteria, sources and methods to be used by teachers for assessment of student performanc e.
SELECT ONE SUBJECT AS PER YOUR SPECIALIZATION Probability And Statistics are the two important concepts in Maths . Probability is all about chance. Whereas statistics is more about how we handle various data using different techniques. It helps to represent complicated data in a very easy and understandable way. The probability is a tool that can be used to make decisions and understand the world around us. By studying probability and statistics, you can better understand the chances of certain events occurring and make sounder decisions. For example, when a customer at a bookshop wants to buy a book, they may calculate the likelihood of them buying that book or not based on their previous buying habits and what have you suggested, and eventually decide if buying a specific book is worth it.
State about the purpose(aim) of studying the subject. How it will help students prepare for life? Define learning from the course, carrier opportunities and entrepreneurship related to the course Purpose (Aim) of studying the subject Reduce uncertainity : Understanding probability allows us to make informed decisions in the face of uncertainty, while statistical analysis helps us make sense of data and draw meaningful conclusions. Decision making: They help us make predictions, test hypothesis, and understand the world around us. Probability and Statistics also play a crucial role in fields like finance, medicine, and technology, where data-driven decision making is essential.
Predictive Modeling: we can develop models to predict future events or behaviors based on historical data by using probability distributions and statistical inference. Scientific Research and Experimentation : Student will able to design experiments and observational studies to test hypotheses by applying statistical techniques to analyze experimental data and validate scientific theories. Future Predictions: They help individuals and institutions make better decisions by learning from events in the past and applying this knowledge to the present to affect the future. # Tyralis , Hristos , and Georgia Papacharalampous . "A review of predictive uncertainty estimation with machine learning." Artificial Intelligence Review 57.4 (2024): 94.
HOW IT HELP STUDENTS TO PREPARE FOR LIFE Problem-Solving Skills Cooperation and Team work Life long learning Communication Skills Adaptability
Learning from the course After studying Probability and statistics , students will be able to Apply discrete and continuous probability distributions . Associate through correlation and regression tools . Able to collect and summarize data. Understand the relationship between exposures and the risk of health effects. Develop critical thinking and analytic skills. Effectively conduct research.
Career Opportunities and Entrepreneurship
DATA EXPLORATION IN VEHICLE INSURANCE Id : Consumer’s unique identity Gender: 0 : Male , 1 : Female Age: Consumer’s Age Driving_License : 0 : Don’t have DL, 1 : Have DL Region_Code : Consumer’s unique code for the region Previously Insured : 0 : Don't have Vehicle Insurance , 1 : Have Vehicle Insurance. Vehicle_Age : Vehicle’s life. Vehicle_Damage : 0 : vehicle never accidental in past , 1 : vehicle got accidental in past Annual_Premium : The sum client needs to pay as premium in the year Response: 0 : Consumer doesn’t take interest in insurance, 1 : Consumer takes interest in insurance.
Define scope of the subject in terms of expected learning outcomes (LOCs). It should be ( i ) cognitive and (ii) non-cognitive learning outcomes. Cognitive learning outcomes
Non-Cognitive learning outcomes
Define the pedagogies to be adopted by the teacher for effective transaction in the classroom in terms of mode of delivery / lecture method Here are some pedagogies to be adopted by teachers for effective transaction : Quizzes and puzzles
# Anthony, Glenda, and Margaret Walshaw . Effective pedagogy in mathematics . Vol. 19. Belley , France: International Academy of Education, 2009.
What pedagogical supports a teacher would require like teaching aids practical demonstration, audio-video, charts or any other supporting device etc. Use of teaching aids help teachers to create lively and interesting teaching – learning Chalk and board Textbooks and reference materials – books, written notes Visual aids – charts, graphs, diagrams, posters Audio visual materials – videos, presentations Educational games – quizzes, puzzles Online resources – tutorial, video lectures
Itemize tasks and techniques to be performed by students to prove their competencies Examination Assignment Presentation Quizzes Multiple-Choice Questions (MCQs) Formulate model
List the tools and techniques required in practical transmission to the students. Here are some tools and techniques that can be effective in practical transmission of Probability and statistics to the students Tools: Projector/ Interactive whiteboard Computers and Laptops Audio-Visual Materials Textbooks ,Reference Materials Interactive Apps and Software
Techniques: Task-Based Learning Project-Based Learning Flipped Classroom Approach Peer Collaboration and Feedback Practical Examples Assessment and Feedback
Possible criteria, sources and methods to be used by teachers for assessment of student performance Criteria 18
sources Methods
References FUNDAMENTAL ENGINEERING MATHEMATICS-PROBABILITY AND STATISTICS by Dr. TapanKumar Kar . https://youtu.be/IoRamPPXrCs https://youtu.be/fNLeogEjMmM