Article Summary: "Kindergarten math concepts
have a narrow range of mathematics topics. These are the math concepts that
students should understand by the end of the Kindergarten. All of these
mathematical concepts are used to develop a well rounded base knowledge
of mathematical ideas and language as students' progress to higher levels
Kindergarten math concepts have a narrow range of mathematics topics. These are the math concepts that students should understand by the end of the Kindergarten based on the National Council of Teachers of Mathematics standards.
When it comes to Numbers and Operations concepts these are the concepts that students study. Students use a variety of objects to understand and recognize how many are in a group. They use whole number is a verity of arithmetic and real world situations. Students apply addition and subtraction to problems and differentiate between the two operations. They use various strategies for using whole numbers to solve real and simulated situations. They use calculators, along with traditional tools to solve arithmetic operations.
In the area of Geometry concepts they develop an understanding of two and three dimensional objects, such as: squares, rectangles, cones, spheres, cylinders, etc. They also study the objects to compare parts of two and three dimensional shapes. Additional areas of geometry and shapes will be the focus how close objects are to other objects in relation to how near or how far away they are to each other. Students apply concept of distance in relation to maps and globes. In addition, they relate the ideas of geometry to other concept areas of mathematics. They learn to recognize geometric shapes in common everyday objects.
Kindergarten students use Algebra to analyze patterns, sorting objects, and properties of objects. The will develop an understanding of patterns in music, shapes, and numbers. They use changes in height to quantify and qualify descriptions.
The concept area of Measurement is focused on the using standard and non-standard units of measurement to determine the relationships between different objects. For example: using their bodies, cubes, their feet, and other objects to find the length of an object. They learn to use estimations skills to explain measurement. This is also connected with geometry as they learn how to measure the length, area, volume, and mass of different objects. They learn how to measure all aspects of circles, prisms, and pyramids.
In the concept area of Data Analysis and Probability students will use appropriate language to ask questions regarding data they collected. They sort and classify objects to make predictions of outcomes.. They learn how to develop questions that will help them find the differences between tow samples in a population. Describe predictions as likely or unlikely to happen based on their data.
When it comes to Problem Solving, kindergarten students develop problem solving strategies to help them develop a fundamental understanding of mathematics. Students use word problems and other real world simulations in problems solving situations.
In the concept are of Representation, students learn to collect and organize data. Then use the data to solve problems. Answers will be presented as models that are physical and social. They are able to draw graphs, charts, tables, and other forms to explain how they solved a problem.
For Connection concepts students learn to make connections to real world applications and other subject content areas. This includes making connections with other concepts in mathematics.
Students learn to Communicate their mathematics ideas in the form of sentences, drawings, posters, and multimedia applications. This is used to ascertain their level of understanding as they explain mathematical concepts to other students and teachers.
Students use logical Reasoning and Proof to explain their mathematical findings and problem solving techniques. This is necessary so that they develop how to present logical arguments to math situations.
All of these mathematical concepts are used to develop a well rounded base knowledge of mathematical ideas and language as students' progress to higher levels of mathematics.