The Influence of Calculators on Algebraic Thinking

Introduction

Math in the classroom has never been limited to learning basic algebraic and arithmetic operations. Reasoning, problem-solving, and critical thinking were consistently mentioned as important curricular components. However, far too many pupils’ only exposure to mathematics was computation—the various branches of arithmetic, operations on whole numbers, fractions, and decimals. Nowadays the calculators have advanced to the new online calculators like the endpoint calculator, dot product calculator which calculates the answer in seconds. But the calculator has revolutionized it all. In this blog, we will explore how calculators have influenced algebraic thinking.

What Is Algebraic Thinking?

Algebraic thinking growth is a process rather than an event. It is something that can contribute to a satisfying, inspiring, and rewarding math education. Identifying and evaluating patterns, examining and expressing relationships, drawing conclusions, and examining how things evolve are all examples of algebraic thinking.

 Naturally, mastering algebraic symbols is essential to learning how to use algebra to solve issues. However, attempting to comprehend abstract symbolism without first developing an algebraic way of thinking will probably result in frustration and failure. Students can start thinking algebraically as soon as they start studying mathematics. But those who use the online dot product calculator or the Endpoint Calculator, don’t have a good tendency to think algebraically. 

• Curiosity Of Young Children

Young children deal with patterns in the first grades. Children have an innate love of mathematics from an early age, and their curiosity drives them to explain and expand patterns of colors, shapes, and sounds, and eventually letters and numbers.  

• Broad Conclusions Of Youngsters

Additionally, youngsters might start drawing broad conclusions about patterns that appear to be similar or distinct at a young age. This type of classification and generalization is a critical stage in the development of algebraic thinking.

• Identification Of Patterns by Kids

Patterns are not only a subject of study but also a tool in the elementary grades. As kids grow in their comprehension of numbers, they can identify patterns in arrays of dots or objects to determine if two is more than three or not, or to determine what six is. They can search for patterns to aid in learning procedures and facts as they investigate and comprehend addition, subtraction, multiplication, and division. 

Influence Of Calculators On Algebraic Thinking

• Positive Aspects

Here are the few positive influences of calculators on algebraic thinking.

1. Focussing On Essential Knowledge

According to Countryman and Wilson, by releasing ourselves from the arithmetic-driven curriculum, calculators are revolutionizing the way we teach mathematics and how our kids learn it. “Calculators have altered the scope of what is feasible and prompted us to consider more carefully what knowledge is essential for kids to acquire. 

1. Investigation of Complex Equations

Students can effectively handle complex algebraic expressions and equations by using advanced calculators that have symbolic manipulation features. Through the manipulation of symbols and expressions, students can investigate a range of algebraic characteristics, recognize trends, and cultivate techniques for resolving complex equations.

1. Higher-Level Mathematical Preparation

Students who are proficient in algebraic problem-solving with calculators have acquired critical thinking skills that are essential for both science and advanced mathematics. A strong foundation in algebraic expression manipulation, equation solving, and graphical interpretation is required for further study in physics, engineering, calculus, and other STEM areas.

1. Eliminating The Tedious Task

Experts view the calculator not as a crutch but as a tool. With the calculator, our students may spend more time exploring and thinking critically by eliminating some of the tedious tasks.

• Negative Impacts

But there are a few negative impacts as well. Let us explain

1. Dependency

Even though they can swiftly complete simple calculations, students shouldn’t use calculators all the time. Relying too much on a calculator to help with addition, subtraction, multiplication, and division problems might cause a student to lose the ability to perform these basic operations by hand. 

For example, if they continue to use the endpoint calculator, the endpoint formula solution in a matter of seconds, they won’t be able to figure it out without the use of calculators.

1. Belittling

The availability of the Dot Product Calculator has made it easier for pupils to cheat on tests. These calculators retain information like formulas and notes in addition to assisting you with basic math operations. This can be used by students to save unauthorized information in order to cheat on an exam. This is one of the primary disadvantages of using a calculator.

Conclusion

In conclusion, growth in algebraic thinking is a process as opposed to an event. It is something that can support a math education that is fulfilling, motivating, and fulfilling. Algebraic thinking includes recognizing and assessing patterns, analyzing and expressing relationships, coming to conclusions, and looking at how things change. Advanced calculators like the endpoint calculator have positive as well as negative influences on algebraic thinking.