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A study on primary grade
students’ errors when using rulers




                                                  Faculty of Education-OUSL
           T.Mukunthan & P.Seneviratne
   Dept. Early Childhood and Primary Education,
         The Open University of Sri Lanka,
                     11.12.2011                         1
Outline of the presentation
• Introduction

• Problem




                              Faculty of Education-OUSL
• Objectives

• Sample

• Methodology

• Findings & Conclusions            2
•
Introduction
Measuring the
length using the
ruler is an important




                          Faculty of Education-OUSL
skill to the students
and the general public.


                                3
Introduction
People are measuring the length of the
 objects several times in their day to day
 life.




                                             Faculty of Education-OUSL
                                                   4
Introduction (Con…)
Sri Lankan Primary Mathematics
syllabi consist of six main topics –
• Numbers,




                                           Faculty of Education-OUSL
• Mathematical Operations,( +, -, x, / )
• Measurement (length, weight, time,
• Money,
• Space and Shapes,
                                                 5
• Data Handling.
Introduction (Con…)
Out of these topics
 measurement consists
the following sub topics:




                            Faculty of Education-OUSL
 (i) length and distance
 (ii) weight
(iii) Capacity and volume
 (iv)Time                         6

(v) Area.
Introduction (Con…)
 Idea of length starts with
• Comparing two lengths in Grade 1 (6
  years)
 it develops as




                                           Faculty of Education-OUSL
• measuring and comparing a length with
  an arbitrary unit
• measuring the given lengths using an
  arbitrary unit, comparing and ordering
  them
in Grade 2,                                      7
Introduction (Con…)
 Introducing the concept of
• standard measuring units,
• estimating a length in metre
• measuring a length in metre and in




                                       Faculty of Education-OUSL
  centimeter
start in Grade 3.



                                             8
Introduction (Con…)
• estimating and measuring in
 metre or centimeter,
• Introducing standard




                                Faculty of Education-OUSL
symbols - m and cm
• Addition and subtraction
 involving metre and
 centimeter in
 Grade 4                              9
Introduction (Con…)
• Introducing millimeter.

• A simple calculation in length,




                                    Faculty of Education-OUSL
• Involving the four mathematical
  operations

                                    10
starts in Grade 5.
Problem
• In-service advisors, primary
  teachers and parents have noted
  that, the primary school children




                                      Faculty of Education-OUSL
  are unable to measure the length
  using ruler perfectly.


                                      11
Objective

• Identify the errors in measuring
  length using ruler in primary school




                                         Faculty of Education-OUSL
  children.




                                         12
Sample
 • The sample was selected from Grade 4 in
   four 1 AB type Tamil medium schools in
   Colombo Education Zone
1AB schools Boys      Girls      Total




                                             Faculty of Education-OUSL
School 1   28         26         54
School 2   28         26         54
School 3   28         26         54
School 4   28         26         54          13

Total      112        104        216
Methodology
• The researcher asked the children to
  measure the length or height of following:
• pencil,




                                               Faculty of Education-OUSL
• edge of a box,
• width of class room window,
• height of students’ chair
• distance between two given points.
                                               14
Methodology
• After the measure the length or height
  they were asked to write those on a paper.
• The children return with lots of different
  answers even though they were




                                               Faculty of Education-OUSL
  measuring identical objects.
• The students were interviewed to identify
  the reasons for making such errors.

                                               15
The following types of errors
were identified
• (i) The children start to measure
  from 1cm instead of 0 cm (24%)




                                      Faculty of Education-OUSL
                                      16
types of errors
• (ii) The children have failed to
  measure in parallel direction (27%)




                                        Faculty of Education-OUSL
                                        17
types of errors
(iii) The children start to measure from the edge
  of the ruler ( when zero does not start at the
  end of the ruler which they are using) (33%)




                                                    Faculty of Education-OUSL
                                                    18
types of errors
(iv). The children have failed to mark
 accurately before moving the ruler along when
 measuring lengths longer than the ruler(14%)




                                                 Faculty of Education-OUSL
                                                 19
types of errors
(v) The children have read the number from the
  other edge of the ruler when it has scales on both
  edges (processing in different directions) (2%)




                                                       Faculty of Education-OUSL
                                                       20
Summary & recommendation
• There were five main types of errors
  identified in measuring the length using
  the ruler.




                                             Faculty of Education-OUSL
• The teachers, In-services Advisors and
  the Curriculum Developers have to
  consider the finding of this study when
  they teach or develop the curriculum
                                             21
Suggestions
1.   Teacher to be trained in measuring
     length ,height using ruler during
     work shop
2.   Students work have to monitored by




                                             Faculty of Education-OUSL
     the ISA and give feedback
3.   The concept of correct usage of ruler
     also should be included in
     summative and formative evaluation
     time.                                   22
You
     Thank



     Faculty of Education-OUSL
23

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Ruler senevi 1

  • 1. A study on primary grade students’ errors when using rulers Faculty of Education-OUSL T.Mukunthan & P.Seneviratne Dept. Early Childhood and Primary Education, The Open University of Sri Lanka, 11.12.2011 1
  • 2. Outline of the presentation • Introduction • Problem Faculty of Education-OUSL • Objectives • Sample • Methodology • Findings & Conclusions 2 •
  • 3. Introduction Measuring the length using the ruler is an important Faculty of Education-OUSL skill to the students and the general public. 3
  • 4. Introduction People are measuring the length of the objects several times in their day to day life. Faculty of Education-OUSL 4
  • 5. Introduction (Con…) Sri Lankan Primary Mathematics syllabi consist of six main topics – • Numbers, Faculty of Education-OUSL • Mathematical Operations,( +, -, x, / ) • Measurement (length, weight, time, • Money, • Space and Shapes, 5 • Data Handling.
  • 6. Introduction (Con…) Out of these topics measurement consists the following sub topics: Faculty of Education-OUSL (i) length and distance (ii) weight (iii) Capacity and volume (iv)Time 6 (v) Area.
  • 7. Introduction (Con…) Idea of length starts with • Comparing two lengths in Grade 1 (6 years) it develops as Faculty of Education-OUSL • measuring and comparing a length with an arbitrary unit • measuring the given lengths using an arbitrary unit, comparing and ordering them in Grade 2, 7
  • 8. Introduction (Con…) Introducing the concept of • standard measuring units, • estimating a length in metre • measuring a length in metre and in Faculty of Education-OUSL centimeter start in Grade 3. 8
  • 9. Introduction (Con…) • estimating and measuring in metre or centimeter, • Introducing standard Faculty of Education-OUSL symbols - m and cm • Addition and subtraction involving metre and centimeter in Grade 4 9
  • 10. Introduction (Con…) • Introducing millimeter. • A simple calculation in length, Faculty of Education-OUSL • Involving the four mathematical operations 10 starts in Grade 5.
  • 11. Problem • In-service advisors, primary teachers and parents have noted that, the primary school children Faculty of Education-OUSL are unable to measure the length using ruler perfectly. 11
  • 12. Objective • Identify the errors in measuring length using ruler in primary school Faculty of Education-OUSL children. 12
  • 13. Sample • The sample was selected from Grade 4 in four 1 AB type Tamil medium schools in Colombo Education Zone 1AB schools Boys Girls Total Faculty of Education-OUSL School 1 28 26 54 School 2 28 26 54 School 3 28 26 54 School 4 28 26 54 13 Total 112 104 216
  • 14. Methodology • The researcher asked the children to measure the length or height of following: • pencil, Faculty of Education-OUSL • edge of a box, • width of class room window, • height of students’ chair • distance between two given points. 14
  • 15. Methodology • After the measure the length or height they were asked to write those on a paper. • The children return with lots of different answers even though they were Faculty of Education-OUSL measuring identical objects. • The students were interviewed to identify the reasons for making such errors. 15
  • 16. The following types of errors were identified • (i) The children start to measure from 1cm instead of 0 cm (24%) Faculty of Education-OUSL 16
  • 17. types of errors • (ii) The children have failed to measure in parallel direction (27%) Faculty of Education-OUSL 17
  • 18. types of errors (iii) The children start to measure from the edge of the ruler ( when zero does not start at the end of the ruler which they are using) (33%) Faculty of Education-OUSL 18
  • 19. types of errors (iv). The children have failed to mark accurately before moving the ruler along when measuring lengths longer than the ruler(14%) Faculty of Education-OUSL 19
  • 20. types of errors (v) The children have read the number from the other edge of the ruler when it has scales on both edges (processing in different directions) (2%) Faculty of Education-OUSL 20
  • 21. Summary & recommendation • There were five main types of errors identified in measuring the length using the ruler. Faculty of Education-OUSL • The teachers, In-services Advisors and the Curriculum Developers have to consider the finding of this study when they teach or develop the curriculum 21
  • 22. Suggestions 1. Teacher to be trained in measuring length ,height using ruler during work shop 2. Students work have to monitored by Faculty of Education-OUSL the ISA and give feedback 3. The concept of correct usage of ruler also should be included in summative and formative evaluation time. 22
  • 23. You Thank Faculty of Education-OUSL 23