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An Integrated Solutions Approach
                   Classteacher Math Program
“The object of education is to prepare the young to educate themselves throughout their
                               lives.”......Robert M Hutchins




                                                                                          1
Math Lab                     Math Online                  Math SAP



                                                         Math Skill Assessment
                                                         Program
Technology Based Learning      Math iPerform             o Co-Scholastic Skills
o Autograph                    o Math Learning zone        assessment
o Trinity                      o Math Assessment zone         o Problems Solving &
Activity Based Learning        o Math Interactive zone          Creativity
o Math lab aids. Interactive                                  o Concept Formation
  tools and manipulative                                      o Concept
                                                                Retention, etc
Manipulative Kit

…designed for learners to perceive mathematical concepts with the help of manipulatives




  Trinity Maths



"Maximizes the power and potential of the ICT, the successful teacher and the pupil."
"...multiple clue buttons provide differentiation to include lower ability pupils.“
"...extension and enrichment activities address the needs of gifted and talented pupils."



  Autograph

..born in the classroom, and uniquely rich in pedagogy!
Ideal for graphing and geometry (2D and 3D), statistics and probability
Manipulative kit


                        Manipulative kit consists of 34 manipulatives:

   Number kit                                                    Clock
   3D net                                                        Area circle
   Algebra kit                                                   Hollow cylinder
   Ring of theorem                                               Alphabets
   Cuisenaire rods                                               Pythagoras kit
   Geoboard with beads      Pattern                              Roman number
   Circle kits              Blocks                               Fraction kits algebra kit
   Place value board                           Interlocking      2d shapes
   Pattern kits                                   Cubes          Area trapezium
   3D shapes                                                     Area of obtuse angle
   Triangle kit                                                  Marble
   Money kit                                                     Dummy cheque book
   Volume kit                                                    Number card
   Mirror dice kit     Number                                    Integer
                        lines
    Magnetic numbers                            Tiles             Area of midpoint theorem
   Abacus                                                        Thermometer
   Skip counting board                                           Area of parallelogram
Trinity Maths

     An eclectic mix of traditional, progressive and original mathematical material

     Problem solving in engaging real-life contexts and calculator assisted questions

     Exercises generated by random numbers, massive data sets and user-defined values

     Interactive, dynamic and versatile activities equivalent to other topic-specific software
Trinity Maths

     Controls are strategically placed and all content is presented on a white background

     Instant feedback to the teacher and pupils provides formative assessment for learning

     Trinity Maths multiple clue buttons provide differentiation for lower ability pupils

     Extension and enrichment activities are included for gifted and talented pupils
Autograph


Data Sets and Groupings                            Operations with data sets
Data entered as either raw or grouped Continuous   Measurements of histograms and cumulative
or discrete data; Transform a data set             frequency diagrams Sample from data sets,
Dynamically change class width on grouped data     demonstrating the central limit theorem



Generate data from probability distributions




                                                   Probability distributions
                                                   Plot and sample from Rectangular (discrete or
                                                   continuous)
                                                   Binomial, Poisson, Geometric, Normal, etc.
Representations of data
Histograms including frequency density
Cumulative Frequency diagrams
Box and whisker diagrams
Autograph


Creation of interactive objects based on moveable     Differentiate, find the area below a curve or
points,lines, vectors, conics, polynomials, shapes,   Between two curves. Integration treated as a first
data sets
                                                      order differential equation




                                                      Differential equations: First and second order solved
Shapes and transformations: Shapes either from a
set of points or from a list of presets.
Transformations including stretches
Shears, reflection, rotations
Enlargements, translations
as well as arbitrary matrix transformations
Autograph


Vectors Create as an interactive object using points    Numerical methods: Bisection solution Newton
or with cartesian or polar coordinates. Vectors can     Raphson method. Step forwards and backwards
be added, subtracted, multiplied, duplicated, have
the angle between them found

Equations One line true notation entry in explicit,
implicit, parametric, piecewise, and polar forms


                                                       Numerical integration. Rectangle, trapesium and
                                                       Simpson's methods

                                                       Scatter graphs Data sets from points, files or entered
                                                       through Autograph's spreadsheet

                                                   Least squares regression graphically illustrated
Slow plot allows you to draw curves incrementally,
                                                   Fit straight lines, polynomial or fit your own equation
stopping at important points
                                                   to the data
Autograph


Points as the basis of objects :Form objects       Vectors: Vectors created from points or entered in
including: shapes, lines, vectors planes           Cartesian form.

Shapes : Either form shapes from joined triangles Equations: Explicit, implicit, parametric, spherical and
or select from a list of preset shapes            cylindrical polars




                                                   Draw normals and tangets to surfaces and parametric
Transform shapes: Rotations
                                                   Curves. Acceleration and velocity vectors to
Reflections
                                                   parametric curves
Enlargements
Translations
as well as arbitrary matrix transformations
Math iPerform is a web based platform that provides a personalized Math self learning environment for students and
functions as an extension of the classroom

1


     Study Planning        • Students discover what they already know in Math based on
                              previous scores and for content areas that they need to master



2
                            • The primary mode of instruction explains the Math concepts within each lesson
     Explain               • Students practice their knowledge by solving problems and receiving immediate
     Apply                   feedback
     Explore               • Students challenge themselves by investigating/solving tougher questions

3
     Connect to peers      • Focus on Collaborative Learning!
     Seek guidance         • Students connect and interact with their peers all around the country
     iPoints               • A unique feature of boosting students performance and motivating them by
                              featuring them on Math iPerform pages; top iPoint scorers win exciting prizes
iPerform caters to variety of learning styles and interests of all students



  Benefits to students

     Finely graded questions
     Detailed solutions
     Comprehensive coverage
     Regular interactive sessions with iperform mentors
     Collaborative learning environment
     iPoints



Testimonials:
"I like the way in which tests are gradually graded from simple to tough. " Preeti Singhal (Student)
"I love the way in which topics are dealt in iPerform. Before this whenever I missed a particular class I had to sit with
boring books for hours, but now with iPerform I get to know the concepts within 30 minutes!" Sayak Kapoor (Student)
Ensures discipline of self-learning in students under the guidance of the
  parents


  Benefits to parents

     Engaging content
     Self-paced, requires no/minimal supervision
     Carefully designed questions, animations and explanations
     Online mentors for much needed guidance and support
     Detailed solutions
     Comprehensive coverage
     Collaborative learning environment


Testimonials:
“My daughter’s confidence in Maths and Science has received a huge boost within 3 months She is definitely showing
signs of improvement. Less expensive than a tutor!” Mr. Rajiv Saxena (Parent)
“My son remains glued to iPerform for almost everything, be it learning, taking tests or clearing his doubts!” Mrs. Renuka
Sharma (Parent)
Enables schools to confirm sense of progress towards academic
 success by achieving small instances of success



 Benefits to Schools

    Interesting animations and teaching
    Provides consistency of learning inputs
    Acts as an extended arm for teachers
    Allocation of assignments, homework and quizzes
    Helps bridge the gap for weaker students




Testimonials:
“The program is comprehensive and very well designed. My students ask more homeworks on iPerform, a thing I never
witnessed before. And almost 90% of them attempt more quizzes on iPerform before they are even asked for it.” Mrs.
Shelley Kumar (Teacher)
Paper and Pen based test every year to measure co-scholastic
 aptitude and development of skills in students

 Measures co-scholastic skills including problem solving and
 creativity:
                                                                              SAP Levels:
    Focus and attention span
    Concept formation                                                        Level 1: Grades 3rd, 4th and 5th
    Concept retention                                                        Level 2: Grades 6th, 7th and 8th
    Quantitative aptitude
                                                                              Level 3: 9th and 10th
    Concept understanding and comprehension
    Application of math in everyday life
    Solving of word problems
    Development of Math aptitude



Testimonials:
“Math SAP goes beyond academic assessment and focusses on skill assessment and development based on application of
Math in real life. Students have now started appreciating the use of Math in real life as compared to never valuing math
concepts before” Mr. Arjun Shenoy (Teacher)
Detailed student reports

                                              Question Wise Report
Question-wise report




                                                                                                                                                            Country % correct
                                                                                                    Student's Answer




                                                                                                                                         School % Correct




                                                                                                                                                                                   Error Indicated
                                                                                                                        Correct option
Report for each student, with the following
on display:                                       Question number                  Topic
   o Question no.
   o Topic
   o Student’s answer                                   18                      Probability             B                  B             83.2               85.7
   o Correct option                                     22                     Algebra and             D                   C             72.8                80
   o School% Correct                                                             patterns
   o Country% correct, etc.                             25                   Number System              A                  A             72.5                75




Skillwise report:                                                                     Skill Profile

A report that shows how a student has been
rated in three assessed skills                                     Application of Math
   o Application of Math
   o Problem Solving and creativity                      Problem Solving and Creativity
                                                                                                                                                                                Student
   o Math in Daily Life
                                                                     Math in Daily Life


                                                                                          5.5   6                      6.5                      7
Math Lab
                           Learn       Math Online

                                                     Math Lab
Math Online                                          Math Online

       Interaction   Classteacher          Explore
                     Math Program



Math SAP                                         Math Online
                 Skill              Scholastic
              Assessment           Assessment
         
Approach    Solution beyond manipulatives
            Complete Math learning platform              

            Comprehensive Assessments -
             Trinity                                      
Features    Ability to learn beyond school
             curriculum - Autograph                       
            Use of Math Solution in Classroom            
Coverage    Mapping for classes 1-12                     
19

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Classteacher math program

  • 1. An Integrated Solutions Approach Classteacher Math Program “The object of education is to prepare the young to educate themselves throughout their lives.”......Robert M Hutchins 1
  • 2. Math Lab Math Online Math SAP Math Skill Assessment Program Technology Based Learning Math iPerform o Co-Scholastic Skills o Autograph o Math Learning zone assessment o Trinity o Math Assessment zone o Problems Solving & Activity Based Learning o Math Interactive zone Creativity o Math lab aids. Interactive o Concept Formation tools and manipulative o Concept Retention, etc
  • 3. Manipulative Kit …designed for learners to perceive mathematical concepts with the help of manipulatives Trinity Maths "Maximizes the power and potential of the ICT, the successful teacher and the pupil." "...multiple clue buttons provide differentiation to include lower ability pupils.“ "...extension and enrichment activities address the needs of gifted and talented pupils." Autograph ..born in the classroom, and uniquely rich in pedagogy! Ideal for graphing and geometry (2D and 3D), statistics and probability
  • 4. Manipulative kit Manipulative kit consists of 34 manipulatives:  Number kit  Clock  3D net  Area circle  Algebra kit  Hollow cylinder  Ring of theorem  Alphabets  Cuisenaire rods  Pythagoras kit  Geoboard with beads Pattern  Roman number  Circle kits Blocks  Fraction kits algebra kit  Place value board Interlocking  2d shapes  Pattern kits Cubes  Area trapezium  3D shapes  Area of obtuse angle  Triangle kit  Marble  Money kit  Dummy cheque book  Volume kit  Number card  Mirror dice kit Number  Integer  lines Magnetic numbers Tiles  Area of midpoint theorem  Abacus  Thermometer  Skip counting board  Area of parallelogram
  • 5. Trinity Maths  An eclectic mix of traditional, progressive and original mathematical material  Problem solving in engaging real-life contexts and calculator assisted questions  Exercises generated by random numbers, massive data sets and user-defined values  Interactive, dynamic and versatile activities equivalent to other topic-specific software
  • 6. Trinity Maths  Controls are strategically placed and all content is presented on a white background  Instant feedback to the teacher and pupils provides formative assessment for learning  Trinity Maths multiple clue buttons provide differentiation for lower ability pupils  Extension and enrichment activities are included for gifted and talented pupils
  • 7. Autograph Data Sets and Groupings Operations with data sets Data entered as either raw or grouped Continuous Measurements of histograms and cumulative or discrete data; Transform a data set frequency diagrams Sample from data sets, Dynamically change class width on grouped data demonstrating the central limit theorem Generate data from probability distributions Probability distributions Plot and sample from Rectangular (discrete or continuous) Binomial, Poisson, Geometric, Normal, etc. Representations of data Histograms including frequency density Cumulative Frequency diagrams Box and whisker diagrams
  • 8. Autograph Creation of interactive objects based on moveable Differentiate, find the area below a curve or points,lines, vectors, conics, polynomials, shapes, Between two curves. Integration treated as a first data sets order differential equation Differential equations: First and second order solved Shapes and transformations: Shapes either from a set of points or from a list of presets. Transformations including stretches Shears, reflection, rotations Enlargements, translations as well as arbitrary matrix transformations
  • 9. Autograph Vectors Create as an interactive object using points Numerical methods: Bisection solution Newton or with cartesian or polar coordinates. Vectors can Raphson method. Step forwards and backwards be added, subtracted, multiplied, duplicated, have the angle between them found Equations One line true notation entry in explicit, implicit, parametric, piecewise, and polar forms Numerical integration. Rectangle, trapesium and Simpson's methods Scatter graphs Data sets from points, files or entered through Autograph's spreadsheet Least squares regression graphically illustrated Slow plot allows you to draw curves incrementally, Fit straight lines, polynomial or fit your own equation stopping at important points to the data
  • 10. Autograph Points as the basis of objects :Form objects Vectors: Vectors created from points or entered in including: shapes, lines, vectors planes Cartesian form. Shapes : Either form shapes from joined triangles Equations: Explicit, implicit, parametric, spherical and or select from a list of preset shapes cylindrical polars Draw normals and tangets to surfaces and parametric Transform shapes: Rotations Curves. Acceleration and velocity vectors to Reflections parametric curves Enlargements Translations as well as arbitrary matrix transformations
  • 11. Math iPerform is a web based platform that provides a personalized Math self learning environment for students and functions as an extension of the classroom 1  Study Planning • Students discover what they already know in Math based on previous scores and for content areas that they need to master 2 • The primary mode of instruction explains the Math concepts within each lesson  Explain • Students practice their knowledge by solving problems and receiving immediate  Apply feedback  Explore • Students challenge themselves by investigating/solving tougher questions 3  Connect to peers • Focus on Collaborative Learning!  Seek guidance • Students connect and interact with their peers all around the country  iPoints • A unique feature of boosting students performance and motivating them by featuring them on Math iPerform pages; top iPoint scorers win exciting prizes
  • 12. iPerform caters to variety of learning styles and interests of all students Benefits to students  Finely graded questions  Detailed solutions  Comprehensive coverage  Regular interactive sessions with iperform mentors  Collaborative learning environment  iPoints Testimonials: "I like the way in which tests are gradually graded from simple to tough. " Preeti Singhal (Student) "I love the way in which topics are dealt in iPerform. Before this whenever I missed a particular class I had to sit with boring books for hours, but now with iPerform I get to know the concepts within 30 minutes!" Sayak Kapoor (Student)
  • 13. Ensures discipline of self-learning in students under the guidance of the parents Benefits to parents  Engaging content  Self-paced, requires no/minimal supervision  Carefully designed questions, animations and explanations  Online mentors for much needed guidance and support  Detailed solutions  Comprehensive coverage  Collaborative learning environment Testimonials: “My daughter’s confidence in Maths and Science has received a huge boost within 3 months She is definitely showing signs of improvement. Less expensive than a tutor!” Mr. Rajiv Saxena (Parent) “My son remains glued to iPerform for almost everything, be it learning, taking tests or clearing his doubts!” Mrs. Renuka Sharma (Parent)
  • 14. Enables schools to confirm sense of progress towards academic success by achieving small instances of success Benefits to Schools  Interesting animations and teaching  Provides consistency of learning inputs  Acts as an extended arm for teachers  Allocation of assignments, homework and quizzes  Helps bridge the gap for weaker students Testimonials: “The program is comprehensive and very well designed. My students ask more homeworks on iPerform, a thing I never witnessed before. And almost 90% of them attempt more quizzes on iPerform before they are even asked for it.” Mrs. Shelley Kumar (Teacher)
  • 15. Paper and Pen based test every year to measure co-scholastic aptitude and development of skills in students Measures co-scholastic skills including problem solving and creativity: SAP Levels:  Focus and attention span  Concept formation Level 1: Grades 3rd, 4th and 5th  Concept retention Level 2: Grades 6th, 7th and 8th  Quantitative aptitude Level 3: 9th and 10th  Concept understanding and comprehension  Application of math in everyday life  Solving of word problems  Development of Math aptitude Testimonials: “Math SAP goes beyond academic assessment and focusses on skill assessment and development based on application of Math in real life. Students have now started appreciating the use of Math in real life as compared to never valuing math concepts before” Mr. Arjun Shenoy (Teacher)
  • 16. Detailed student reports Question Wise Report Question-wise report Country % correct Student's Answer School % Correct Error Indicated Correct option Report for each student, with the following on display: Question number Topic o Question no. o Topic o Student’s answer 18 Probability B B 83.2 85.7 o Correct option 22 Algebra and D C 72.8 80 o School% Correct patterns o Country% correct, etc. 25 Number System A A 72.5 75 Skillwise report: Skill Profile A report that shows how a student has been rated in three assessed skills Application of Math o Application of Math o Problem Solving and creativity Problem Solving and Creativity Student o Math in Daily Life Math in Daily Life 5.5 6 6.5 7
  • 17. Math Lab Learn Math Online Math Lab Math Online Math Online Interaction Classteacher Explore Math Program Math SAP Math Online Skill Scholastic Assessment Assessment
  • 18.    Approach  Solution beyond manipulatives  Complete Math learning platform      Comprehensive Assessments - Trinity     Features  Ability to learn beyond school curriculum - Autograph      Use of Math Solution in Classroom     Coverage  Mapping for classes 1-12    
  • 19. 19