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What is the assumption supposition method | Matrix Math

When and Why to Use the Assumption/Supposition Method Over Guess and Check

20 February 2024

BY: admin_cleverly

Guess and check is a method our children are taught when they are in their early primary years. While it is reliable and guarantees the right answer if a student were to spend enough time on each calculation, a school examination does not provide them with the luxury of going through every single one of them.

Another downside of guess and check is that it involves an element of luck, as well as how strong the logical skills of your child are. If your child happens to get the answer right in their first or second calculation, then they can move on relatively quickly, but if it involves multiple tries to reach the right solution, examinations and timed tasks can turn into a difficult affair.

Continue reading below if you would like to know when and why the assumption/supposition method should be used over guess and check.

What is the assumption/supposition method?

The assumption/supposition method, also known as the supposition method, involves strategically assuming values or conditions to simplify a problem. Unlike guess and check, which depend on trial and error, this method relies on logical deductions and problem-solving strategies to ease the solution process.

Here is an example of the assumption/supposition method in action:

What are the differences between the assumption/supposition method and guess and check?

 

Assumption/supposition Method

Guess and Check

Approach

Based on making educated guesses and working backwards.

Relies on systematic trial and error.

Strategy

Utilises logical deductions and problem-solving strategies.

Involves trying different values systematically.

Efficiency

Tends to be more efficient, as guesses are based on logic.

Can be time-consuming, especially for complex problems.

Precision

Allows for targeted and strategic solution attempts.

May involve luck and exhaustive iterations.

Complexity Handling

Effective for problems with multiple variables or constraints.

Suitable for simpler problems or situations with few variables.

Time Sensitivity

Advantageous in timed scenarios or examinations.

May not be ideal for time-constrained situations.

 

 

When to Use the Assumption/Supposition Method Over Guess and Check?

 

When to Use the Assumption Supposition Method Over Guess and Check | Matrix Math

The complexity of the problem

When faced with math problems that have multiple variables and require a strategic approach, the assumption/supposition method should be your go-to choice. You break down what seems like a complex problem into manageable steps and avoid being overwhelmed. From there, you are shown a clear pathway to getting closer to the solution with each step taken. This can help students who tend to panic when faced with tough questions, especially when they are racing against the clock.

Time constraints

If you’re working under exam conditions, the supposition method can be a lifesaver. It gives you a structured framework within which can help you stay focused by strategically narrowing down your options based on educated assumptions. This can increase your chances of finding a solution within the allotted time.

Avoiding errors

The importance of avoiding errors cannot be overstated, especially in complex problem-solving scenarios. When combined with being under exam conditions, every mistake is precious marks lost as the student risks being unable to complete the paper within the time limit. If the situation calls for the minimization of errors, the supposition method directs the student to take a systematic approach guided by logic. This reduces the possibility of overlooking important details or coming to the wrong conclusions.

Why is the assumption/supposition method preferred over guess and check?

 

Simplifies Complex Problems

 

Complex math problems can be overwhelming, especially if your child has a weak foundation in the subject. By making logical assumptions, the supposition method allows students to focus on specific aspects of the problem one at a time. This simplification process helps students gain a clearer understanding of the problem and makes it easier to identify potential solutions or paths forward.

Provides a Structured Approach


The assumption/supposition method offers a structured framework for approaching math problems. Instead of feeling overwhelmed by a problem’s complexity, students can follow a step-by-step process that guides them through the problem-solving process. This structure provides clarity and direction, helping students stay focused as they work towards finding a solution.

Builds Confidence


It is common for students to feel nervous when faced with exams. However, if it heightens at the sight of a math problem they find complicated, their mind may go blank, which can affect their performance. By breaking down the problem into manageable steps through the supposition method, students can build confidence as they make steady progress towards finding a solution.

Encourages Critical Thinking

The assumption/supposition method is about more than finding the right answer. It is about teaching students how to think critically. They’re encouraged to consider different perspectives, weigh evidence, and draw logical conclusions. This not only helps them solve math problems more effectively but also equips them with crucial skills for navigating real-world challenges.

 

Are you interested in learning more about the assumption/supposition method?

Are you interested in learning more about the assumption supposition method | Matrix Math

As your child transitions to the upper levels of Primary school, they will be introduced to the assumption/supposition method. While this method is hailed as being much more effective compared to guess and check, it may be difficult to grasp for those who have a weak foundation in math. At Matrix Math, we provide primary math tuition designed to nurture independent learners who are confident in using the assumption/supposition method to solve mathematical problems effectively.

 

Contact us today to sign your child up for lessons with us and give them the tools they need to excel in math!