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Overview Mathematics Teaching and Learning Cycle DET numeracy programs – Count Me In Too CMIT), Best Start, Targeted Early Numeracy (TEN) Changes to the Early Numeracy Continuum Building Routines in the classroom Teaching Resources and internet links
Reflect on your current practice
How much of your teaching time is proportioned to mathematics?
How do you currently teach mathematics?
What documents do you currently use to inform planning, teaching and assessing?
Foundation Statements
Foundation Statements set out a clear picture of the knowledge, skills andunderstanding that each student should develop at each stage of primaryschool.
Mathematics K – 6 Syllabus
Embedded in all DET syllabus documents is an understanding that explicit and systematic teaching and learning will best occur when teachers follow the process articulated by the teaching and learning cycle.
Teaching and Learning Cycle• Discuss with a partner what
you think is in the Teaching and Learning cycle.
• Draw the Teaching and Learning cycle on a piece of paper.
Count Me In TooThe Count Me In Too (CMIT) numeracy program is an on-going initiative of the DET. The program melds findings from research about how children learn mathematics, with research on effective professional development.
Aim Help teachers understand children’s mathematical development. Improve children’s achievement in mathematics.
Count Me In Too
The transition from unitary strategies to collection-based strategies underpins the structure of the framework.
Where are my students now?Best Start assesses students school entry skills and understandings.
It is the assessment and evaluation that drives planning & teaching. Careful planning creates the most appropriate teaching & learning activities to lift the students to the next level of understanding.
What do I want my students to learn?
How is my teaching program
going to cater for the students’
needs? The syllabus should be used to plan and program explicit teaching experiences.
Outcomes Scope and continuum Key ideas
How will my students get there?
What will I do to maximise
student learning opportunity to
meet the syllabus outcomes?
What will the students do (or produce) to demonstrate
attainment of syllabus outcomes?How well do I expect them to do?
How do I know when my students get there?
Consistent teacher judgement is essential. The value of your professional knowledge of the students. Continuous assessment
Have the students achieved the
syllabus outcomes?
2010 Best Start results
Emergent(Level 0)
Initial (10)(Level 1)
Intermediate (10)(Level 2)
Facile (10)(Level 3)
Facile (30)(Level 4)
Facile (100)(Level5)
7065 20,220 7,479 16,919 7,106 3,172
11.2% 32% 11.8% 26.8% 11.3% 5%
1A Forward number word sequences
Number of students not assessed1197 1.9%
Aspect 1: Counting Sequences
2010 Best Start results
Emergent(Level 0)
1 - 10(Level 1)
1 - 20(Level 2)
1 – 100(Level 3)
26,450 25,572 4896 5022
41.9% 40.5% 7.8% 8%
1B Numeral Identification
Number of students not assessed1218 1.8%
Aspect 1: Counting Sequences
2010 Best Start results
Emergent(0)
Perceptual(1)
Figurative(2)
Counting-on-and-back(3)
Facile (4)
25,681 29,602 5,320 1,097 203
40.7% 46.9% 8.4% 1.7% 0.3%
Aspect 2: Counting as a problem solving process – Early arithmetical strategies
Number of students not assessed1255 2%
Linking EAS levels to the SyllabusEAS Level Description Syllabus link
Emergent Cannot count visible items. Does not know the number words or coordinate number words with items.
Working towards NES1.2
Perceptual Able to count perceived items. Builds numbers by using materials or fingers to find the total count.
NES1.2
Figurative Determines the total of two concealed groups but starts counting from “one” to do so.
NS1.2
Counting-on-and-back
Counts-on (or back) from a number rather than counting from “one” to solve addition and subtraction tasks. Has a sense that the count of one of the numbers has already occurred.
NS1.2
Facile Uses a range of non-count-by-one strategies such as use of doubles and near-doubles.
NS1.2NS2.2
Changes to the continuum
FNWS : Counts beyond 100 (NS2.1)
BNWS: Counts backwards from any number (NS2.1)
Counting sequences - verbal & written labels
Early Arithmetical Strategies – EAS
In the perceptual and figurative levels, the text has been rewritten in dot points so that it was easier to read.
The last 2 points from the facile level have been moved down to the aspect Pattern and number structure. The combinations to 10 and 20 are part-whole knowledge and are closely linked to patterning.
The ladder at Counting-on-and-back and in the first level in Place value is to show that the students must be at the Counting-on-and-back level to be on the Place value framework.
Changes to the continuum
Place value and Multiplication & division
Some of the text has been changed to dot points. Place value has been put before Multiplication & division.
Changes to the continuum
Targeted Early Numeracy (TEN)
The program recognises that a small percentage of students are at risk of numeracy failure, despite participation within a quality early numeracy program.
Teaching occurs within a normal daily lesson block, without withdrawal or an additional specialist teacher.
Early Arithmetical Strategies
The Early Arithmetical Strategies (EAS) aspect of the Best Start Early Numeracy Continuum underpins the assessment and teaching of the TEN program.
TEN targetsBroad targets have been set to assist teachers in identifying students for participation in the program:
Broad Kindergarten target
All Kindergarten students will have reached at least the perceptual counting stage in the range to 20 by the end of the year.
Broad Year 1 target
All Year 1 students will be at least able to show figurative counting across the decade by the end of the year.
Broad Year 2 target
All Year 2 students will be at least counting-on-and-back in the range to 30 by the end of the year.
Building classroom routinesFactors for consideration:
High repetition of activities.
Activities should occur throughout the day NOT only in the mathematics lesson.
Even though TEN concentrates on EAS, activities on other aspects such as FNWS and BNWS are also important.
TEN focuses on short, focussed and frequent sessions within the classroom, using activities designed to move these students to the next stage in the framework.
Short
Focussed
Frequent
How can the activities be a part of the teaching day?
Think about your class routine. What are some of the activities that occur within your classroom?
DENS - Three minute lesson breakers
There are plenty of teachable moments in a day that don’t have to be written into your timetable.
What do you see as the biggest challenge for teachers?
Time for programming to cater for different ability groups Time to devise learning activities Time to create resources Time for classroom organisation
TIME
Curriculum Support
Programming SupportTeaching Resources
Where to next?
An effective numeracy lesson Creating Early Learning Plans
Differentiating learning objects
“There can be no doubt that the first three years of school (K – 2) have a profound effect on the rest of the child’s mathematical education, because it is in the first three years that the child first experiences success or failure, interest or boredom, challenge or frustration.
Bob Wright Mathematics in the Lower Primary Years
Mathematics Education Research Journal, 1994
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