B.ed. 4th sem computational literacy
- 1. Far Western University Computational Literacy 1 Far-western University Faculty of Education B.Ed. in Education Course Title: Computational Literacy Course No. : C.Maths.101 Level: B. Ed. Semester: First Full marks: 100 Credit Hour: 3 (45 hours) Pass marks: 45 1. Course Introduction With a view that mathematics offers foundational approaches, tools and techniques to almost all disciplines, this course is designed for undergraduate students to develop understandings of basic mathematical and computational knowledge and skills. Specifically, Computational Literacy provides learners with an awareness and understanding of the role that mathematics (and its computational possibility) plays in the contemporary world. The course is driven by life-related applications of mathematics, thereby enabling learners to develop the ability and confidence to think numerically and spatially so as to interpret and critically analyze everyday situations, events or phenomena. 2. General Objectives General objectives of this course are as follows: 1. use mathematical concepts in a critical and reflective manner to ensure that acquired knowledge is applied responsibly to the workplace. 2. collect, analyze and organize information to evaluate and critique conclusions; 3. communicate appropriately by using descriptions in words, graphs, symbols, tables and diagrams; 4. enhance understanding of everyday phenomena through different forms of relationships; 5. engage responsibly with legitimate arguments relating to local, national and global issues; 6. be sensitive to the aesthetic value of mathematics and explore the importance of computational literacy for career opportunities; 3. Contents in Detail with Specific Objectives Specific Objectives Contents determine union, intersection, difference, complement of sets. solve everyday problems related to cardinality of sets. Unit 1: Sets (5 hours) 1.1 Operations of set (union, intersection, difference, complement, etc.) 1.2 Cardinality of sets compute the Cartesian product of the given sets. define and determine the nature of relation under given conditions, find domain and range of the given relation. define function with examples compute the functional value of algebraic functions. solve equations with one variable, two variables and three variables . Unit 2: Functions and Equations (5 hours) 2.1 Cartesian Product 2.2 Relation, domain and range of a relation 2.3 Function (function as relationship, function as machine, function as system) 2.4 Equation involving one variable, two variables and three variables
- 2. Far Western University Computational Literacy 2 recognize simple and compound statements with examples. use logical connections (e.g., and, or, if-then etc) for compound statements determine truth value of a compound statement through the truth table use Venn-diagram to determine the validity of logical arguments. Unit 3: Logic (5 hours) 3.1 Simple and compound statements 3.2 Logical connections 3.3 Truth value and truth table 3.4 Uses of Venn-diagram in determining the validity of statements select a suitable way of presenting raw statistical data develop an awareness of advantages and limitations of different representation styles construct and interpret different ( e.g., stem- and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency) representational graphs. exemplify and use different measures of central tendency in appropriate contexts (mean, median, mode) define and explain the use of the measures of dispersion (range, interquartile range, mean deviation and standard deviation). estimate the directional extent to which the distribution is away from the symmetrical distribution. explain the use of correlation in various fields, determine the relationship between two variables. Unit 4: Data Handling (15 hours) 4.1 Collection and representation of data 4.2 Stem-and-leaf diagram, box-and-whisker plots, histograms and cumulative frequency graphs 4.3 Measures of central tendency (mean, median, mode) and their strengths. 4.4 Measures of dispersion (range, interquartile range, mean deviation and standard deviation) and their strengths 4.5 Skewness 4.5.1 Positively and negatively skewed distributions 4.5.2 Measure of skewness, its coefficient and application of the measures 4.6 Correlation 4.6.1 Positive and negative; linear and non- linear 4.6.2 Scatter Diagramand Karl Pearson's correlation coefficient 4.6.3 Uses of correlation To define and exemplify permutation (arrangement) and combination (selection) To solve some basic problems of arrangement and selection via permutation and combination. To solve the problems related to arrangements with repetition and restrictions. Unit 5 Permutation and Combination (6 hours) 5.1 Definition of permutation and combination with examples 5.2 Problems related to permutation and combination involving selection and arrangements 5.3 Arrangement with repetition, arrangements with restrictions To explain the difference between classical and empirical probability, To calculate the probability by means of the enumeration of equiprobable elementary events. To apply addition and multiplication rule for calculating probabilities in simple cases To recognize exclusive and independent events To calculate the conditional probability values in simple cases (solutions are performed by means of tree diagram). Unit 6 Probability (7 hours) 6.1 Classical probability and empirical probability 6.2 Probability by means of enumeration of equiprobable elementary events 6.3 Addition and multiplication of probabilities in simple cases 6.4 Exclusive and independent events, conditional probability in simple cases.
- 3. Far Western University Computational Literacy 3 4. Methodology and Techniques This course is envisaged to be delivered by using methods that encourage students to participate in investigating problems from their lived contexts. Specifically, key concepts will be discussed through specific examples, and aspects of problem-based learning approach will be used to deal with context-specific problems. 5. Evaluation Scheme Attendance in Class: Students should regularly attend and participate in discussion in the class. 80% percent class attendance is mandatory for the students to enable them to appear in the End-Term examination. Below 80% in attendances that signify is NOT QUALIFIED (NQ) in subject to attend the end term examination. Term paper: Term paper must be prepared by the use of computer in a standard format of technical writing and must contain at least 5 pages. It should be prepared and submitted individually. The stipulated time for submission of the paper will be seriously taken one of the major criteria of the evaluation. Presentation: Student will be divided into groups and each group will be provided topic for presentation and it will be evaluated individually as well as GroupWise. Assignment: Each student must submit the assignment individually. The stipulated time for submission of the assignment will be seriously taken one of the major criteria of the evaluation. Mid-Term Examinations: It is a written examination and the questions will be set covering the topics as taught in the sessions. Mid-term examination will be based on the model prescribed for End-term examination. End-Term/External Examinations: It is also a written examination and the questions will be asked covering all the topics in the session of the course. It carries 60 marks. For simplicity, full marks will be assumed 100, and 60% of marks obtained will be taken for evaluation. Strict Notice: Each student must secure 45 marks with 80% attendance in internal evaluation in order to qualify the End-Term Examinations. Failing to get such score will be given NOT QUILIFIED (NQ) and the student will not be eligible to appear the End-Term examinations. Computational Literacy External Evaluation Weight Marks Internal Evaluation Weight Marks End semester examination 100% 60 Assignments 10% 40 Quizzes 10% Attendance 10% Presentation 10% Term papers 10% Mid-Term exam 40% Group work 10% Total External 100% 60 Total Internal 100% 40 Full Marks 60+40 = 100
- 4. Far Western University Computational Literacy 4 6. End Semester Examination Model Full marks: 100, Pass marks: 45, Time: 3 Hrs 7. Recommended & Reference Books Recommended Books 1. Bajracharya,D. R., Shrestha,R.M., Singh,M. B.,Sthapit,Y. R.,& Bajracharya,B.C. (2011). Basic mathematics (3rded.).Kathmandu:SukundaPustakBhawan.(Unit1,2,3,4) 2. Dobbs,S.,& Miller,J.(2008). Advanced Levelmathematics:StatisticsI.Cambridge,NY:Cambridge UniversityPress.(Unit4,5, 6) Reference Books 3. Akst, G., & Bragg, S. (2013). Basic college mathematics through applications: basic skills math. Boston, MA: Pearson Education (for all units). Nature of question Total questions to be asked Total questions to be answered Total marks Weightage External exam marks Group A: Multiple choice 20 20 20×1 = 20 20% 12 Group B: Short answer type question 11 questions 8 8×5 = 40 40% 24 Group C: Long answer type question/case studies 6 questions 4 4×10 =40 40% 24 Total 100 100% 60