Showing posts with label maths for life. Show all posts
Showing posts with label maths for life. Show all posts

Mathematics Exam Resources Website for PNG students and teachers

Your initiative (Mathematics Examination Resources website) is welcomed as an approach students can prepare themselves well ahead of examinations.

Consequently, the issues and challenges are briefly discussed to deepen members of the public perceptions of the examination papers, examination, teaching and learning, school curriculum, memorisation and thinking strategies.


Readers' note: The comments are by/from the former PNG Education Department Secretary Dr Michael Tapo in response to the new initiative we spearheaded - making online resources for teachers and students. We thank Dr Tapo for reaching out and for the comments below.
The math resource website is called Mathematics Examination Resources (MER). Here is why (The Reason) we created this Maths resource website. Take a look and let us know what you think.

An in-depth article from Dr Tapo was published on the PNG Insight parent website titled 'Thinking Strategies' Help Students Solve Problems' - read here.  


Immediate challenges in educational approaches

Central to all of the approaches taken, the century-long learning phenomenon of Thinking versus Memorising of facts in the late 1960s -1980s is worth revisiting. Approaches such as:

  • students were routinised memorising of facts, and
  • learn to remember and then display this in Grade 6, Grade 8, and Grade 10 examinations. 
When they fail to understand the examination questions and cannot remember the facts they fail to meet the achievement level for high school or tertiary and university education.


Problem Solving and Thinking Strategies

School education examination in Papua New Guinea (PNG) from 1975 to 2020 and beyond is all about Knowledge Gathering and Remembering and is significant and very much dependent on the quantity of teaching, quality of teaching, and teacher quality.  

The problem has been and continues to be so and is an urgent and acute problem associated very much to Problem Solving or best described as Thinking.

Almost all high and secondary school education in Papua New Guinea failed to focus Problem Solving Strategies. And have limited teaching and learning strategies that address the scientific approach (of teaching thinking strategies) required to solve problems.  Hence, its an apparent strategy and definite means to know the facts from knowledge and skills taught and learned in primary, high and secondary examinations.

We know revising for exams is important because it helps to stop anxiety and stress. We created a Maths website where you can download Grade 8, Grade 10 and Grade 12 General Maths and Advanced Maths Exam Papers. GET THEM HERE.

Importance of teaching the syllabus 

The amount of time spent in teaching and learning mathematics, Science and Grammar is interconnected to the number of multiple practices each child assumes in class in these subjects is significant to avoiding dependency on past and recent examination papers. 

The current culture of schooling and learning is dependent on schools and teachers must teach children more and make them work harder to increase their information on the level of knowledge and skills planned around the subject learning being learned.  

Foremost, the level of individual child intelligence and termly achievements in a subject learning area must be corrected with the facts (knowledge and skills acquisition). Students primarily learn best if they can remember these facts. 


Knowledge and skills being examined 

The ambiguity of language and phrases used in the past and more recent examination papers indicate the facts of knowledge and skills being examined can or could lead to confusion.

Some questions can mislead students to select or choose to answer a question in future examinations because of a similar question and answer from the past examination papers and likely answer that is expected in the 2020 or 2021 examination papers.

The quest for high and secondary examinations is placing more emphasis on the thinking strategies which lead children to creativity, problem-solving, inquiry, and critical approach to thinking in a subject learning area being learned. 


Expectations and clarity of examinations 

Papua New Guinea children in the 21st Century must be encouraged and have a voice in determining what is taught in the National Curriculum, what is examined and the rules applied to assessing and measuring of facts in knowledge and skills in examinations.

Quality of teaching and teacher quality needs major shifts towards thinking strategies and say goodbye to the current heavily dependent ideology of the 'chalk-talk and certainty principle which is central to the there is a right and wrong answer to every question! 

Dr Michael F Tapo, EdD 

Online Maths Games for Kids and Toddlers

Giving children an early start in education is every parent's wish. Many studies have supported the fact that preparing children early - before they start school - sets the foundation for future success in school.

For keen parents wanting to give their children a better start, there are many educational programs (and smartphone apps) available for free; as well as those that are purchasable. 

But, knowing the right option, age-appropriate for younger children can be a hassle. 

This post identifies one highly recommended learning program for children - Reading Eggs.


Online Maths Games for Kids and Toddlers

The Reading Eggs is a fun-filled educational software for children ages 3 years old to 13 years old. 

Parents of children who've used the software have seen *significant* improvement in their children's ability to read and write and learn about numbers.

Why Reading Eggs?

The Maths Factor is another learning program available, but I am also a fan of the Reading Eggs. One of the best features of Reading Eggs is the *Reward*. 

The Reading Eggs reward system motivates kids to keep exploring and learning.  My kids have used it since they were 3 years old – fantastic learning program, highly recommended. 

Here is a brief citation from Reading Eggs:

“Children love the games, songs, golden eggs and other rewards which, along with feeling proud of their reading, really motivate children to keep exploring and learning.” Reading Egg (accessed 23/11/2017)

Reading Eggs Maths Online Games

Many parents of young children have recommended Reading Eggs. Your children can have fun and learn to read, early, both at home or when you are out and about.

Perhaps giving children the best start early in life is the best thing to do as parents. This paves way for both academic success and success in life - reading is a life skill and every child should know how to read. 

The best way to learn how to read is to learn about LETTER SOUNDS. Find out how you can help your child learn letter sounds as the first of the 5 steps of learning to read by following the link.

Reading Eggs Fun

The 5 points are the main reasons why Reading Eggs is proven to be popular among many parents:
  • 1.  Cater for children ages 3 – 13 years old;  
  • 2. Highly interactive and reward-based – children play, earn points and learn;  
  • 3. Accessible via Personal (Home) Computers and Smartphones;  
  • 4. *Free* online trial permitted - no need to enter bank card details prior to the unlimited free trial; 
  • 5. Over 90% of parents indicated noticeable *improvement* in their children.

What Can Papua New Guinea Curriculum Developers Learn From Singapore’s Maths Mastery Lessons

Researchers in the article (shown on the right) compared mathematics ‘teaching methods’ in the UK to the Singaporean method. Their finding revealed that ‘students taught using problem solving strategy learn faster than their counterparts – ‘making an extra month of progress in a calendar year’.  That’s impressive.

Another point worth reiterating is that student’s ability to do well in maths can be enhanced by tweaking it at certain time. 

The report highlighted that ‘even a small enhancement at age 10 yields long term economic benefits for individual and the country’.

Singapore’s maths mastery concentrates on problem-solving


If PNG students were to do well in mathematics, maths teachers have to look at ways to create resources targeted at developing student’s problem-solving skills, ideally students between the ages of 9 and 16 years. 

Take a look at Singapore’s mastery class. A good example has been indicated – using three wooden bars to find three consecutive numbers that add up to 42. Papua New Guinean (and English, US, NZ and Australian) teachers would solve this by trial and error or by using algebra.

Method one: By trial and error - choose 3 numbers at random. Start at 10, 11, 13 (=34); 11, 12, 13, (=36); 12, 13, 14 (=39) and 13, 14, 15 (=42)

Three numbers are 13, 14 and 15

Method 2: By using algebra - let the first number be x, second number x + 1 and third number x + 2

            x + x + 1 + x + 2 = 42
             3x + 3 = 42
             3x       = 39
                       x       = 13

Three numbers are 13, 14 and 15

Maths Mastery Lessons Singapore



Importance of Maths Mastery Lessons 

This is not about a complete shift in teaching styles. This is about enhancement – creating ‘power lesson’ effective enough to enrich students ability on a weekly or monthly basis.

The importance of helping students to learn faster and think for themselves is far superior to preparing students for examinations. There has to be a balance between building strong problem-solving skills and preparing students to achieve good grades. 

What Singaporean schools have done can also be done in Papua New Guinea. Giving students the best possible opportunity to improve their maths skills on a regular basis, and above all, prepare them for life.

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