Signed in as:
filler@godaddy.com
MATHEMATICS
Mathematics
By Mathematics Strands
Maths Strands:
Number & Algebra
Measurement & Geometry
Statistics & Probability
MATHEMATICS VOCABULARY
You can download the document from the PRODUCTS page
PROBLEM SOLVING
- Predict
- Clarify
- Summarise
- Question
- Formulate
- Solve
- Evaluate & Verify
- Communicate
This method utilises the senior syllabus requirements and can be aligned to the Problem Solving 1 approach
Problem Solving Approach 3:
- A.C.E.D - under construction
Mathematical Conventions:
MATHEMATICS STRANDS
Operations
Number & Algebra
Number & Algebra
On this page you will find a breakdown of concepts including:
PROBLEM SOLVING
Statistics & Probability
PROBLEM SOLVING
ORDER OF OPERATIONS
ORDER OF OPERATIONS
Have you ever completed a mathematical problem and found that your answer was different from the persons next to you?
Mathematitians realised the need for mathematical conventions in order to keep consistency in results.
ORDER OF OPERATIONS is a MATHS CONVENTION!
Those lazy, crazy mathematitians weren't so crazy after all!
When you move into the higher levels of primary education, and into high school, the foundations you have learned in maths at primary school are utilised in order to complete more complex problems. Along with the more complex problems are more issues around agreed upon conventions.
ORDER OF OPERATIONS is an important convention to remember. Just as you must remember a capital letter and punctuation when writing (English conventions), mathematics also has rules that we must follow.
Maths has CONVENTIONS too!
A CONVENTION in mathematics in order to ensure a consistency across the field of mathematics...
Problem Solving
Prep-Yr.2 - PREDICT
PREP-YR.2 - SUMMARISE
PREP-YR.2 - CLARIFY
PREDICT
PREP-YR.2 - CLARIFY
PREP-YR.2 - SUMMARISE
PREP-YR.2 - CLARIFY
CLARIFY
PREP-YR.2 - SUMMARISE
PREP-YR.2 - SUMMARISE
PREP-YR.2 - SUMMARISE
SUMMARISE
PREP-YR.2 Question
PREP-YR.2 Question
PREP-YR.2 - SUMMARISE
QUESTION
Yr.3-Yr.6 - Predict
PREP-YR.2 Question
YR.3-YR.6 - Clarify
PREDICT - YR.3-YR.6
YR.3-YR.6 - Clarify
PREP-YR.2 Question
YR.3-YR.6 - Clarify
CLARIFY YR.3-YR.6
YR.3-YR.6 - SUMMARISE
YR.3-YR.6 - SUMMARISE
YR.3-YR.6 - SUMMARISE
SUMMARISE - YR.3-YR.6
YR.3-YR.6 - QUESTION
YR.3-YR.6 - SUMMARISE
YR.3-YR.6 - SUMMARISE
QUESTION YR.3-YR.6
High School - Predict
YR.3-YR.6 - SUMMARISE
HIGH SCHOOL - CLARIFY
PREDICT - HS
HIGH SCHOOL - CLARIFY
HIGH SCHOOL - SUMMARISE
HIGH SCHOOL - CLARIFY
CLARIFY - HS
HIGH SCHOOL - SUMMARISE
HIGH SCHOOL - SUMMARISE
HIGH SCHOOL - SUMMARISE
SUMMARISE - HS
HIGH SCHOOL - QUESTION
HIGH SCHOOL - SUMMARISE
HIGH SCHOOL - SUMMARISE
QUESTION - HS
Problem Solving Approach 1
Predict, Clarify, Summarise, Question - link to Reading
PREDICT:
- What might the answer be?
- What operations might I need?
- What mathematical concepts are behind the problem?
- Are there any conventions I might need to remember?
CLARIFY:
- Is there Information missing that I need?
- Is there Information there that I can omit (I don't need it)?
- What operations will I need?
- What steps will I take?
- Are there any conventions I need to follow?
- Are there any formulas which may assist?
- What mathematical concepts are behind the problem?
SUMMARISE:
- The problem
- The plan to solve the problem
- The information I'm missing
- Mathematical concepts I will need to draw from
QUESTION:
- Are there other ways to solve this problem?
- Could I back track from the answer to verify I have the correct result?
- How could I link this to other problems I have solved?
- Do I have areas I'm finding difficult?
- Can I link this to what I've learned previously (my prior knowledge / virtual backpack)
Mathematics Problem Solving Approach 1 Bookmark can be downloaded from Products
PROBLEM SOLVING
Utilising the reading strategies enables a teacher to explicitly teach and demonstrate the links across subject areas.
Problem Solving is not just a mathematical issue!
I have used these processes with students in primary, linking across subject areas.
If you keep your metalanguage and process consistent, you might like to create your own approach using the same, generic, elements.
APPROACH 2 - aligned to senior syllabus requirements
APPROACH 3 -
A.C.E.D approach to problem solving...currently under development
PROBLEM SOLVING APPROACH 2
PROBLEM SOLVING APPROACH 2
Linking to the senior syllabus expectations. I"ve created a bookmark which also notes how you might connect across subject areas.
Once again, this is just my take on generic elements.
When it comes to setting out expectations, this will be directly linked to the expectations and approaches of individual teachers and or schools.
Mathematics Problem Solving Approach 2 Bookmark can be downloaded from Products
FORMULATE
· Hypothesise
· Predict
· Engage/Explore
APPROACHES:
- · Scan the problem
- · The next step could be…
- · Visualise
- · How many different approaches
SOLVE
· Clarify
· Metalanguage
· Explain
APPROACHES:
- · Clarify language
- · Clarify what you need / don’t need
- · Clarify problem
- · Clarify solution approach
- · Interpret facts and relationships and organise them logically
- · Solve
EVALUATE & VERIFY – Check
· Summarise
· Extend
· Evaluate
APPROACHES:
- · Back track from answer
- · Control elements
- · Variables (changes)
COMMUNICATE (overall)
WHY must I communicate?
- · To show your working out
- · To see clearly the steps you took
- · To help you check your answers
- · To find where you may have made an error
- · WHY – to help deepen understanding
- · To demonstrate knowledge to teachers
- · To explain / teach to others
WHY must I use a set structure?
- · To follow an agreed upon method
- · To ensure I understand, clearly, all steps to my learning
- To help clarify any areas of concern
As with approach 1, this approach is easily adapted to the primary environment.
COGNITIVE VERBS
Curriculum based verbs utilised in senior mathematics
GAMES & Other Resources
BattleSHIPS
BattleSHIPS
BattleSHIPS
Having trouble with GRID REFERENCES?
Try this game...
Suitable for PRIMARY or Secondary students
DOWNLOAD FROM PRODUCTS
CONNECT 4
BattleSHIPS
BattleSHIPS
Having trouble with GRID REFERENCES?
Try this game...
Suitable for PRIMARY or Secondary students
DOWNLOAD FROM PRODUCTS
BattleSHIPS
Check out another version of a bookmark - aligned to Polya concepts.