Nepal Mathematics Centre -2(A) AMiMaC Brochure

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8/30/2011 1 The World of NMC

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8/30/2011 2 NAMASTE gd:]t HjHjnkf GOOD MORNING Nxf:;f]M km\ofkm'NhLM ;nfdflnsd

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8/30/2011 3 NMC NEPAL MATHEMATICS CENTRE g]kfn ul0ft s]Gb | 2009 @)^^ AUTUMN MINI-MATH-CAMP 2010 AIM MAM COLUMBUS COLLEGE

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8/30/2011 4 NA MA S TE 2010 On Behalf of Nepal Mathematics Centre is pleased to welcome you all HISMAT at AMiMaC

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8/30/2011 5 2010 AIM AMiMaC

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8/30/2011 6 A i M ] A Mi Ma C stands for A dventure I n M athematics Through A utumn Mi ni Ma thematics C amp Organized by N M C N epal M athematics C entre .

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8/30/2011 7 Participants of the camp will have to explore mathematical ideas related to Basic Mathematics with Special Focus on Logic, Mathematical Induction and Curve Sketching AiM ♥AMiMaC is a 3-days Activity Aimed at Curriculum Overview Inter-active Discussion plus Intensive Workshop.

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8/30/2011 8 Participants of the camp will be challenged intellectually in a relaxed atmosphere while participating in various activities, have to explore mathematical ideas related to Basic Mathematics with Special Focus on Logic, Mathematical Induction and Curve Sketching. In the camp, Participants will have an excellent opportunity For Making more friends and Enhancing a culture of academic discussion.

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8/30/2011 9 Academic Activities Participants will explore Logical as well as Geometrical concepts plus Manual and Computer–based skills . Logistics Interested Individuals Specially Mathematics Teachers Are kindly requested to fill up the attached Registration Form And return the same to School of Mathematics Nepal Mathematics Centre Ganesh Galli, Putali Sadak Kathmandu, Nepal

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8/30/2011 10 Venue All events will be held at COLUMBUS COLLEGE At New Baneswor, Kathmandu Working Schedule Camp will run 3 days Oct 9,Saturday to Oct 11, Monday 2010 Check in everyday at 9.30 A.M. Camp ends at 4.30 P.M .

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8/30/2011 11 AiM ] AMiMaC Registration Form Name of Participant : Date of Birth: Institution Affiliated: Home Address: Telephone/Cell/ e-mail: Signature of the participant: Date: Priority Deadline: October 5, 2010 Participation Fee: Rs. 1500 ( Tea and Launch, Usual Seminar materials) Reference Materials Plus C.D. on Payment

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8/30/2011 13 D.A.O.K. Regd. No. 146/2067 NMC NEPAL MATHEMATICS CENTRE g]kfn ul0ft s]Gb| 2009 @)^^

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8/30/2011 14 NMC Nepal Mathematics Centre ( At A Glance ) Nepal Mathematics Centre is a non-profit service oriented educational foundation/Trust dedicated to the improvement of teaching, learning, evaluation, research and applications of mathematics in Nepal. Its short form is NMC. In Vernacular , it will be called g]kfn ul0ft s]Gb| -g]us]_

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8/30/2011 15 NMC's main objectives are To launch a nationwide Mathematics Awareness Movement in order to convince the public in recognizing the need for better mathematics education for all children, To initiate a campaign for the recruitment, preparation, training and retaining teachers with strong background in mathematics, To help promote the development and dissemination of innovative ideas, methods and materials in the teaching, learning and research in mathematics and mathematics education, To provide a forum for free discussion on all aspects of mathematics education, To facilitate the development of consensus among diverse groups with respect to possible changes, and To work for the implementation of such changes .

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8/30/2011 16 Nepal Mathematics Centre ( Organizational Structure ) Executive Committee President Members Prof. Dr. R. M. Shreshtha Prof, Dr. H. B. Maharjan Ph.: 014473450, cell:9841331855; Ph.: 014330257, cell:9851088155; e-mail: rms916@hotmail.com e-mail: hbmaharjan@gmail.com Vice-President Prof. Dr. S .P.Koirala Prof. Dr. H. P.Upadhyay Ph.: 014263844, cell:9841368886; Ph.: 01433179, cell:9841352111 e-mail : siddhikoirala@gmail.com e-mail: h_dahal@yahoo.com Secretary Asst. Prof. T. R. Pokhrel Lect. E. Acharya Ph.: , cell:9721543367 Ph.: , cell:9841886391 e-mail: tikarampokhrel@gmail.com e-mail:ek_acharya@yahoo.com Joint-Secretary Principal H.N.Upadhyaya Lect. A. Subedi Ph.: , cell:9851016513; Ph.: cell:9841369233 e-mail : hnupadhyaya@gmail.com e-mail: abatar_subedi@yahoo.com Treasurer Lect. A. Pokhrel Ph.: , cell:9841408467; e-mail: anjupokharel@yahoo.co.in

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8/30/2011 17 Prof. Dr. M.B. Shrestha Associate Prof. Dr. P. M. Bajracharya Ph.: cell: Ph.: 014330257, cell:9851088155; e-mail: e-mail: pm_bajracharya@hotmail.com Reader H. D. Choudhary Reader Dr. L.N. Sharma Ph.: cell: Ph.: 014330257, cell:9851088155; e-mail: harichau@hotmail.com e-mail: Reader L. N. Yadav Prin. R. Hada Ph.: cell: Ph.: 014330257, cell:9851088155; e-mail: y_laxmi1391@hotmail.com e-mail : bright_educationalinstitute@yahoo.com Lect. R. Gyanwali Lect. N. Subedi Ph.: cell: Ph.: 014330257, cell:9851088155; e-mail: rudragyawali@hotmail.com e-mail: subedi_neelam@yahoo.com Lect. B. D. Shakya Prop. Jeetendra Maharjan Ph.: cell: Ph.: 014330257, cell:9851088155; e-mail: bd_shakya@hotmail.com e-mail: paluwaprakashan@hotmail.com Lect. B. P. Khanal Lect. Ph.: cell: Ph.: 014330257, cell:9851088155; e-mail: e-mail Nepal Mathematics Centre (Organizational Structure) Permanent Members

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8/30/2011 18 The perspective is illustrated by the summits of Makalu [left (8,462 metres; 27,765 feet)], Everest [middle (8,848 metres; 29,035 feet)] , Lhotse [middle (8,516 metres; 27,939 feet)] and Cho Oyu [right (8,201 metres; 26,906 feet)] -- at the heights typically flown by commercial aircraft . Perspective View of the Himalayas looking south from over the Tibetan Plateau from International Space Station NA MA S TE National Mathematical Sciences Team (Collective Name of Members of NMC) ECMAT PRIMAT SECMAT HISMAT GRAMAT REMAT (Special Teams)

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8/30/2011 20 ASH Acadmic Session Highlights Higher Secondary School Mathematics Curriculum is revised quite recently. Logic, Curve Sketching and Mathematical Induction are being introduced. For better Teaching, Learning and Evaluation, Objectives specific to each topic, Detailed course description, Plus Standard Evaluation Scheme are indispensible.

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8/30/2011 21 A i M ] A Mi Ma C A dventure I n M athematics Through A utumn Mi ni Ma thematics C amp is a kind of Plan of Action

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8/30/2011 22 Session A Curriculum Review Session B Resource Materials Study Session C Inter-active Discussion Session D Intensive Workshop Academic Plan Three units will be treated separately. Every unit will be examined from four angles. One session for one aspect.

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8/30/2011 23 Session A Curriculum Review Focus on introduction, objectives and course content Session B Resource Materials Study Available books plus internet resources Session C Inter-active Discussion Problems Identification (Teaching, Learning, Evaluation plus Managerial)

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8/30/2011 24 Session D Intensive Workshop Challenges and Opportunities Setting objectives and content, Effective Teaching and Learning Reliable evaluation Selection of Teaching aids and Learning materials, Preparation of Modules ( Teaching , learning and evaluation )

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8/30/2011 26 TDA Three-Days Activities Opening Session Academic Session Closing Session

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8/30/2011 27 TDA Three-Days Activities Saturday October 9, 2010 Registration (9.30 – 10) 2. Opening Session (10.00 – 11.30 ) First Day

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8/30/2011 28 Chairing by Prof. Dr. R. M. Shreshtha Sitting of Special Guests V.C. NAST Dean – Education Dean Science 10.00 – 10.10 President NMS President MEC President HISSAN Guests Principals of Participating Campuses + Sponsors Welcome address + AMiMaC Introduction - Prof. Dr. S .P. Koirala 10.10 – 10.20 ASH - Prof. Dr. H. B. Maharjan 10.20 – 10.30 TDA - Principal H .N. Upadhyaya 10.30 – 10.40 Few Words - Prof. Dr. R. M. Shreshtha 10.40 – 10.45 Vote of Thanks - Prof. Dr. H. P. Upadhyay 10.45 – 11.00 Presentation of Token of Love 11.00 – 11.10 Tea 10.10 – 11.30 Opening Session (Mrs. A. Pokhrel)

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8/30/2011 29 I(C) : (14.00 – 16.00) : Interactive Discussion I(A) : (11.30 – 12.00) : Curriculum Review Launch (12.00 – 13.00 ) I(B) : ( 13.00 – 14.00) : Comparative Study of Available Resources Tea (16.00 – 16.30) First Day Academic Sessions Saturday October 9, 2010

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8/30/2011 30 Second Day Sunday October 10, 2010 Tea (9.30 – 10) I(D) : (10.00 – 12.00) : Intensive Workshop Launch (12.00 – 13.00) Academic Session

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8/30/2011 31 Second Day Sunday October 10, 2010 II(A) : (13.00 – 13.30) : Curriculum Review II(B) : (13.30 – 14.00) : Comparative Study of available Resources Academic Session II(C) : (14.00 – 15.00) : Inter-active Discussion II(D) : (15.30 – 16.00) : Intensive Workshop Tea (16.00 – 16.30)

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8/30/2011 32 Third Day Launch (12.00 – 13.00) Monday October 11, 2010 Tea (9.30 – 10) Academic Session III(A) : (10.00 – 10.30) : Curriculum Review III(B) : (10.30 – 12.00) : Comparative Study of available Resources

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8/30/2011 33 Third Day III(C) (13.00 – 14.00) : Inter-active Discussion Tea (16.00 – 16.30 ) III(D) (14.00 – 15.30) : Intensive Workshop III(D) (15.30 – 16.0) : Intensive Workshop Academic Session Closing Session

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8/30/2011 34 Presentation of Token of Love by NMC President

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8/30/2011 35 NMC NEPAL MATHEMATICS CENTRE g]kfn ul0ft s]Gb | 2009 @)^^ AUTUMN MINI-MATH-CAMP 2010 AIM MAM TOKEN OF LOVE

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8/30/2011 36 End of Opening Session Vote of Thanks : Prof. Dr. H.P. Upadhyay Photo Session

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Closing Session (Mrs. N. Subedi): 

8/30/2011 40 Closing Session ( Mrs. N. Subedi) Chairing by Prof. Dr. S. P.Koirala Remarks by Participants a) NMC and NAMASTE (HISMAT) b) AMiMaC; CR, ID, IW c) Overall Management Vote of Thanks - Mrs. B. Shakya Concluding Remarks – Prof. Dr. S.P Koirala High Tea.

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8/30/2011 41 Expected expenditure Brochure preparation and Publicity Rs. 1,000/- Seminar documents: Programme sheet, Academic sessions details, Rs 4,000/- Curriculum overview , Questionaires, Activity details, PPt Presentations preprints, CD, Banner Rs 2,000/- Bag, Pad, dot pens: Computer, Projector plus screen, Rs, 2,000/- Microphone plus speaker, UPS/ generator Rs. 2,000/- Water Rs 1,500/- Resource Materials Rs 10,000/- Photos and video Rs. 2,000/- Tea Rs 5,000/- Launch Rs 24,000/- Token of Love Rs, 6,000/- Management assistants Rs. 2,500/- Experts Rs. 15,000/- Rs. 76, 000/- 10% overhead Rs. 7,600/- Total Rs. 83,600/- Budget

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8/30/2011 42 Expected Income 1. Participants: 15,00 x 20 = Rs. 30,000/- 2. Publishers: 2,000 x 9 = Rs.18,000/- 3. Materials sale 500 x 20 = Rs.10,000/- 4. Hosted launches 8000 x 3 = Rs.24,000/- 5. Others Rs. 1,600/- Total : Rs. 83,600/-

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8/30/2011 44 NAMASTE gd:]t HjHjnkf GOOD MORNING Nxf:;f]M km\ofkm'NhLM ;nfdflnsd

First Academic Session : 

8/30/2011 45 First Academic Session Prof. Dr. R.M Shreshtha Principal H.N. Upadhyaya, Lecturer R. Gyanwali Session I(B) : Comparative Study of Available Resources Session I(C) : Interactive Discussion Session I(D) : Intensive Workshop Session I(A) : Curriculum Review

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8/30/2011 46 I. Introduction: This course deals with the fundamentals of advanced mathematical concepts. It also tries to consolidate the concepts and skills learnt in Mathematics course in school level. It is desirable at the end of each unit sufficient related problems be solved. Mathematics XI Higher Secondary School Curriculum (2067/2010) Full Marks 100 Teaching hours 150 Academic Session I(A)

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8/30/2011 47 Unit 3: Curve Sketching 10 hrs Odd and even functions, Periodicity of a function, symmetry (about x – axis, y – axis and origin) of Elementary functions, Monotonocity of a function, Sketching graphs of polynomial functions , Trigonometric, Exponential, Logarithmic functions (Simple cases only) II. Specific Objectives : On completion of this course students will be able to: 4. sketch the curves

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8/30/2011 49 Comparative Study of Available resources Some Similar Courses elsewhere with special reference to objectives, content and extent b) Teaching materials available c) Instructional strategies d) Assessment strategies Academic Session I(B)

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8/30/2011 51 Inter-active Discussion Academic Session I(C) First Stage Problems Identification (a) 1) Teaching and Learning What problem (s) needs more focus ? Clarity of objectives Yes/ No/ Don’t know b) Specification of details of content Yes/ No/ Don’t know c) Extension of content including problem solving Yes/No/Don’t’know

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8/30/2011 52 Inter-active Discussion Academic Session I(C) Second Stage Problems Identification (b) 2) Management of the allotted 10 hours What problem (s) are most crucial ? Availability of full 10 hours Yes/No/ Don’t know b) Sufficiency of full 10 hours Yes/ No/ Don’t know Necessity of additional problems classes Yes/No/Don’t know

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8/30/2011 53 Inter-active Discussion Academic Session I(C) Third Stage(a) Problems Identification (c) 3) Elaboration of the Evaluation Scheme Will it be better to subdivide 2 marks questions into shorter questions carrying 1 or .5 marks each? Yes/No/Don’t know Will it be advisable to further subdivide a 4 mark question into ( 2 + 2), (3 + 1), (1 + 1 + 1 +1), etc. ? Yes/No/Don’t’know Can we state that a certain fixed number of correct steps carry full marks? Yes/No/Don’t know

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8/30/2011 54 Inter-active Discussion Academic Session I(C) Third Stage (Alternative) Problems Identification (c) 3) Elaboration of the Evaluation Scheme Is it OK to break a) Each 2 marks question into four parts each carrying .5 marks for the determination of any four of Domain, Range, x- intercept, y-intercept, symmetry, asymptote Yes/No/Don’t’know Each 4 marks question into two parts each carrying 2 marks for determination of any two of critical points, interval of increase/decrease, local maximum or minimum, Point of inflection, Concavity Yes/No/Dont’ know

Questionaires related to Introduction: 

8/30/2011 55 Questionaires related to Introduction Do you think that this unit deals with the fundamentals of advanced mathematical concepts as mentioned in the Introduction of the course ? Yes/No/ Don’t know Does it consolidate the concept and skills learnt in mathematics course in school level? Yes/No/Don’t know Do you find this unit sufficient in problems-solving ? Yes/No/Don’t know Optional: Your suggestions: ( Only one sentence for each question) 1. 2. 3. Academic Session I(C)

Questionaires related to Objectives: 

8/30/2011 56 ● To make distinction between domain and range (i.e., the set of permissible values of x and y ), Yes/No/Don’t know ● To determine - x- and y-intercepts i.e. the points where the graph crosses the axes) Yes/No/Don’t know ●To examine - symmetry , if any, (i.e. odd or even or periodic nature of the function), Yes/No/Don’tknow Questionaires related to Objectives What is your opinion about the single objective ? Good/Satisfactory/ unsatisfactory Will it be appropriate to include the following specific objectives ? Academic Session I(C)

Questionaires related to Objectives: 

8/30/2011 57 ●To find asymptote , (i.e., the line to which a curve comes closer and closer but never meeting it) if any Yes/No/Don’t know ●To identify intervals of increase or decrease Or monotonocity (i.e., intervals in which the slope is negative or positive) Yes/No/Don’t’ know Questionaires related to Objectives Will it be appropriate to include the following specific objectives ? Academic Session I(C)

Questionaires related to Objectives: 

8/30/2011 58 To determine maximum and minimum (i.e. points where the slope is zero or tangent line is horizontal) or (i.e. local maximum or minimum or concavity upwards or downwards) Yes/No/Don’t know ●To find -point of inflection (i.e., the point where the concavity switches from CU to CD or CD to CU) Yes/No/Don’t know ●To draw - sketch A reasonable looking curve (or a qualitative picture of the graph) capturing certain basic features by putting together the foregoing information. Academic Session I(C) Questionaires related to Objectives

Questionaires related to Course Content: 

8/30/2011 59 Questionaires related to Course Content Do you feel that the course content needs more detailed description? Yes/No/ Don’t know What do you assess the difference (s) in content and extent in the published books ? Not problematic/ Problematic/ Don’t’ know Will it be beneficial if the course content and extent is elaborated by incorporating the following detailed course description? a) Odd and even function with reference to following basic functions: linear function, quadratic function, cubic function, biquadratic function, absolute value function, reciprocal functions, elementary exponential, logarithmic and trigonometric Yes/No/Don’t know Academic Session I(C)

Questionaires related to Course Content: 

8/30/2011 60 Questionaires related to Course Content Will it be beneficial if the course content and extent is elaborated by incorporating the following detailed course description? b) Periodicity and determination of period, amplitude and phase Yes/No/Don’t know c) Symmetry , finding symmetric of basic functions only Yes/No/Don’t know d) Idea of zeros, poles and holes to determine critical points and asymptotes Yes/No/Don’t know e ) Monotonocity ; determination of interval of increase or decrease using difference quotient or slope related to two consecutive points Yes/No/Don’t know Academic Session I(C)

Questionaires related to Course Content: 

8/30/2011 61 Questionaires related to Course Content f ) Determination of local maximum and minimum of basic functions Yes/No/Don’t know g) Point of inflection or second order critical points and their determination Yes/No/Don’t know h) Concavity change Yes/No/Don’t know Will it be beneficial if the course content and extent is elaborated by incorporating the following detailed course description? Academic Session I(C)

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8/30/2011 62 Your suggestions: ( Just a couple of sentences only) 1. 2. 3. Academic Session I(C)

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Challenges and Opportunities: 

8/30/2011 64 Challenges and Opportunities General Challenges Changes in content, approach and attitude that will cater the need of rapidly changing science and technology dominated world of work ? Narrowing/ Bridging the ever increasing multi-dimensional gap ( internal as well as international) in teaching , learning and evaluation. Developing a national curriculum frame Something more: 1. .. … …. 2…. … … Academic Session I(D)

Challenges and Opportunities: 

8/30/2011 65 Challenges and Opportunities Specific Challenges Clarity in Course overview or introduction Detailed Specification of objectives indicating the content and extent of teaching, learning and evaluation Preparation of Teaching manual Standardization of Teaching and Testing materials plus marking system Something more: … … … … … … … … …. Academic Session I(D)

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8/30/2011 66 Opportunities Learning, applying and earning Academic revitalization Manual plus technological skills enhancement Effective teaching capability and time management Preparing teaching and learning materials plus teaching aids that utilize modern technology, especial computer and e-information) Efficiency in testing and evaluating through improved materials and techniques Something more: 1. .. … …. 2…. … …

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8/30/2011 67 GOOD LUCK EVERYBODY NEPAL MATHEMATICS CENTRE SEE YOU NEXT TIME THANKS