KTET Paper 1: Mathematics Test - 7 - KTET MCQ

Kinesthetic learning is a learning style in which learning takes place by the students carrying out physical activities, rather than listening to a lecture or watching demonstrations. Here, the student is asked to carry out a physical activity with the help of beads. Using strings and beads of two different colours will help in clearing his concept of multiplication.

The abstractness of mathematics makes it similar to the other disciplines. It is an integrated subject when compared with others. Its application is widely known in all other sections like business, industry, music historical scholarship, politics, sports, medicine, agriculture, engineering, and the social and natural sciences. Mathematical concepts and its application in basic and applied science, extraction of the underlying structures, patterns, or properties can be termed as the abstractness of mathematics.
Hence, the correct answer is "All of the above".

Mathematics is a study of patterns, numbers, geometrical objects, data, and information. It deals with data analysis, integration of various fields of knowledge, involves proofs, deductive and inductive reasoning and generalizations. 

• Counting, recognizing, and using numerals correctly, comparing numbers, and operations on numbers are considered important milestones in the development of number concepts.
• The children in their initial years even before their schooling, start their process of learning numbers. They are able to verbally speak the counting but it depends on the individual differences. 

The answer to the question is obtained by logical approach.

In the primary level of the student's education, one should become more understandable with the basics. The teaching methods are also taken into consideration at this stage of learning by the teachers. The basic concepts like the number systems, place value recognition, understanding the numbers according to their place values are some basic concepts in mathematics.

Mathematics is a study of patterns, numbers, geometrical objects, data, and information. It deals with data analysis, integration of various fields of knowledge, involves proofs, deductive and inductive reasoning, and generalizations.

• The teaching of mathematics should be done in the way, in which a student learns the best i.e., following the child-centered approach by engaging students actively in the learning process.
• The teacher should focus more on providing practical exercises and abstract knowledge to students to foster their individualized discovery-oriented learning.

A triangle cannot have more than one right angle.The sum of all angles of the triangle cannot exceed 180º. If two of the angles are right-angled, it will not satisfy this condition.

We have to find the number of one-sixths in two-thirds.
i.e. number of 1/6 in 2/3.
In order to find the answer, we divide 2/3 by 1/6.
2/3 ÷ 1/6 = 2/3 x 6/1
= 12/3 = 4
Hence, the answer is four..

Mathematics is one of the few subjects that have practical, cultural, and disciplinary value. Mathematics has the potential to range across all three values, but due to the inappropriate teaching-learning process, its potential is not being utilized to its optimum level. 

The objective that can be achieved through this activity is creating.

Mathematics focus on developing an understanding of numbers, shapes, and patterns by using the techniques of problem-solving and logical reasoning.

• The mathematical curriculum treats mathematics as a tool for practical utility as well as a discipline that develops reasoning and analytical abilities.

Hexagon is such a shape that has six sides so a hexagonal pyramid means that the base of the pyramid will be hexagonal in shape, i.e., it has a hexagonal base and the upper portion of the pyramid has triangles. The number of triangles is equal to the no. of sides the hexagon is having. So, the correct answer is, 'the hexagonal pyramid consists of a hexagonal base along with six triangular faces meeting at a particular point forming a hexagonal pyramid-like pattern'.

Mastery Learning Strategy is an educational philosophy, which was first introduced by Benjamin S. Bloom in 1968.

Mathematics wall helps the teachers to form a two-way interaction with the students. The task is assigned to the students after the learnings given to them, and they write it on the wall, which helps other students to learn from the other students in the same class. It indirectly gives an equal opportunity to all the students to express themselves and learn from each other.
Hence, the correct answer is, 'Given opportunity of expression to every child and to learn from each other.'

The area concerning measuring various dimensions of geometrical figures is termed Mensuration.

• Mensuration consists of rules of measurement of length, area and volume. 

Mensuration interaction with geometry:

• Geometry is related to space and shapes. when it is integrated with mensuration, the children learn about shapes and dimensions in an approximated and comprehensive way.
• The 2D shapes can be drawn in a plane like square, rectangle, triangle, circle, etc. and 3D shapes cannot be represented in a plane like bricks, ice-cream cones, or football, etc.
• Mensuration includes computation using mathematical formulas and algebraic equations. 
• As mensuration uses formulas and equations, it is a technique of mathematization.
• mathematization is  the activity of transforming a problem into a symbolic mathematics problem and reorganizing within the mathematical system, in the solution process.

Hence, it can be concluded that mensuration when integrated with geometry to create an aesthetic, approximate and comprehensive feel to shapes, comes under the technique of mathematization.

The most essential skill for a teacher is the ability to help children form their own opinions on the text as different type of learners need different way of explanation to make them understand the text.

The students who solved the problem don’t understand how fraction addition works. He just added the two numerators and 2 denominators differently.
1/2 + 1/3 = (3+2)/(3x2) = 5/6
But instead, he added the numerators 1+1=2 and the denominators 2+3=5 and got the final result as 2/5.
So, he is unaware about the process of L.C.M. as that is the basis of the fraction addition. The teacher needs to teach him about the concept of L.C.M.
Hence, the correct answer is "Help the child to understand  the concept of LCM".

Mathematics education must be affordable to every child and at the same time, it needs to be enjoyable so that students can enjoy learning mathematics instead of fearing away from it.

• The teaching-learning resources in mathematics are used to bring concreteness into the teaching of abstract concepts in the classroom and also stimulates the interest of learners.
• They are specifically used by the students to explore, investigate, and internalize the concepts to enhance their mathematical competency.

Mathematics is the science of space, number and calculation.

When we divide 567567567 by 567, we get

∴ The quotient is 1001001.

Mathematics is a study of patterns, numbers, geometrical objects, data, and information. It deals with data analysis, integration of various fields of knowledge, involves proofs, deductive and inductive reasoning, and generalizations. It involves the mathematization of thoughts that develops through mathematical reasoning, consisting of abstract statements and their proofs. Any assumption, hypotheses, and argument in mathematics can be proved with the help of various methods of proof.
The proof is generally a mathematical argument consisting of a sequence of statements. The proof of mathematical statements applied to certain accepted rules, definitions, and assumptions.

As pradeep was directly asked the position or label of the 5 cm on the ruler and he points out the mark of 5 cm correctly on the ruler. So, his answer is correct.

Aryabhata was a fifth century mathematician, astronomer, astrologer and physicist. He was a pioneer in the field of mathematics.

Group projects and discussions help students to learn using social instruction. During group projects and discussions, the students work with their peers, and in the process, learn effectively.

Standard units of measurements must be used always in order to measure things. Learners also do the same thing they always use the standard units for measurements. It helps to provide a reference point by which every quantity can be best described, it helps to remove any ambiguity in understanding or stating the concept or the fact. It is used all over the world and hence considered as the standard unit.
Hence, the correct statements are, 'III, II, I, IV.'

Kids aren't born knowing what math symbols mean, but sometimes it became difficult for kids to differentiate between the symbols. All kids need practice and time to learn how to use maths symbols. All kids need practice and time to learn, but Some kids need extra time and practice to learn how to use maths symbols. Kids develop at different rates. Even if, the child is unable to make difference between the symbols, then need visual support also for recognizing the symbols. So, they learn math skills at a different rate with extra visual support. 

Sometimes, students are not interested in manipulation or computation type question. In laboratory method, students can discover the new ways of learning mathematics by making and observing models, paper folding, paper cutting, construction work in geometry etc.

Mathematical thinking and ideas are an important way of learning Mathematics. It is beyond doing arithmetic and algebra. Manipulative models, static pictures, written symbols, spoken and written language, real-world situations, or contexts are five ways to represent Mathematical thinking and ideas.
Hence, the correct answer is, 'Mathematical thinking and ideas.'

• Techniques of teaching refer to the various methods and devices that teachers use to make the teaching and learning process more effective.
• These devices can include things like multimedia presentations, interactive whiteboards, online discussion forums, educational games, and other tools that help engage students and enhance their understanding of the subject matter.
• Objectives of teaching and principles of teaching are related concepts, but they do not directly refer to the devices or techniques used in teaching.
• Objectives of teaching refer to the specific goals or outcomes that teachers hope to achieve through their instruction, while principles of teaching refer to the underlying theories and best practices that inform effective teaching strategies.

Hence, we can conclude that option 3 is correct.