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MATH - Measurement, Geometry, Representation
Part A
A standard unit of measurement offers a point of reference by which items of weight, length, or capacity can be delineated. It is a quantifiable semantic that aids every individual comprehend the relation of the object with the measurement. For instance, volume can be expressed in metrics such as gallons, ounces, and pints. On the other hand, a non-standard unit of measurement is something that might fluctuate or change in terms of weight or length. The item that was measured is a door as this is an object that can be found in everyday life. Through the use of standard units of measurement, I found that the door is equivalent to 2 meters or 200 centimeters in length. This particular standard measure was used for the reason that it is possible to utilize it using items including tape measures. On the other hand, with respect to non-standard units of measurement, I used hand spans to determine the length of the door. I established that the door is equivalent to 10 hand spans. This non-standard measure was used for the reason that it is significantly easier to use and simple to measure with. The key difference...
This is in the sense that someone with a smaller hand, for instance a child, will have shorter lengths of hand spans and therefore will find the door to be measured by more than 10 hand spans. Therefore, it is not reliable or constant to utilize this as a metric. On the other hand, the standard unit of measurement is universal and will bring about the same results of 2 meters if measured by a different individual (Morin, 2018).
Part B
The van Hiele theory can be used to promote the understanding of geometry for Pre-K 6 students. Levels 0 -2 for the theory comprise of visualization, analysis, and abstraction. It is imperative to note that every level within the theory encompasses its own symbols and language. In order to increase the learning and understanding of geometry, it is advisable for the students to follow the hierarchical order of the levels. Level 0 is visualization. At this particular level, the student can make use of visual perception together with non-verbal thinking. In…
This has had the unintended consequence of increasing the dropout rate, as students who fail to perform and to be promoted leave the schools altogether. Many good, creative teachers also drop out, frustrated with the stringent controls placed upon their teaching style. ELL (English Language Learner) students are at a particular disadvantage for taking standardized tests, given the frequently arcane wording of the exams. The tests are often poorly written,
Cognitive Development: Jean Piaget Jean Piaget was intrigued with the reasons children gave to justify their incorrect answers to questions that called for the application of logic. He interpreted these as symbols indicating just how differently adults and children think. In his view, a child's thinking is influenced by the experiences they have with their environment and how mature their biological system is. Towards this end, a child will often
To my observation, a math teacher now has the ability to put a personal stamp on his approach to curricular material, with evolving technologies such as a class website serving as a reflection of his own ideas regarding math instruction and his own emphases on relevant principles. By enabling teachers to bring creative ingenuity into the process, the internet is helping instructors and students to make closer connections, which
relearn several mathematical concepts and learn how to instruct other about them. It also became necessary to learn the different components of educating students on math based upon their current knowledge and abilities and how the teacher will evaluate the students to make that determination. Not only did I learn how to teach the subject, but I was also instructed on how to submit and fulfill standards. In short,
Students should be able to reflect on the process of problem solving. Reasoning and Proof Students should recognize that proofs are a fundamental aspect of mathematics. Within that understanding, they should develop the ability to select and use various types of mathematical reasoning. Communication The standard calls for students to communicate their mathematical thinking in a coherent and clear way to teachers, peers, and others. Students should be able to express their ideas
Algebra Lesson Plans and Curriculum for the 7th Grade Classroom The National Council of Teachers of Mathematics (NCTM) provides a comprehensive set of principles and standards for developing curriculum for grades K. through 12th. Chapter two of their text Principles and Standards for School Mathematics specifies the six principles considered vital for the development of a coherent math plan. The principles are general enough to apply across a wide variety