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Effective teaching is a result of
Effective teaching is a result of
Effective teaching
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Recommended: Effective teaching is a result of
Patricia L Krause
November 1, 2014
TEAC 888
Literature Review
Literature Review
In Principles to Actions (NCTM, 2014), NCTM states that effective teaching of mathematics builds fluency with procedures on a foundation of conceptual understanding so that students, over time, become skillful in using procedures flexibly as they solve contextual and mathematical problems. National Council of Teachers of Mathematics (NCTM) stated in 2000 that students in grades three through five are expected to a) develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems and b) develop fluency in adding, subtracting, multiplying and dividing whole numbers. A majority of students
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(2007). Learning multiplication: The easy way. Clearing House: A Journal of Educational Strategies, Issues and Ideas, 80(6), 278-282.
De Brauwer, J. & Fias, W. (2009). A longitudinal study of children’s performance on simple multiplication and division problems. Developmental Psychology, 45(5), 1480-1496.
Mauro, D., LeFevre, J. & Morris, J. (2003). Effects of problem format on division and multiplication performance: Division facts are mediated via multiplication- based representations. Journal of Experimental Psychology: Learning, Memory, and Cognition, 29(2). 163-170.
McCallum, E., Skinner, C., Turner, H. & Saecker, L. (2006). The taped-problems intervention: Increasing multiplication fact fluency using a low-tech, classwide, time-delay intervention. School Psychology Review, 35(3), 419- 434. Research Foundation & Evidence of Effectiveness for FASTT Math. (2005). Research Foundation Paper. Scholastic Research & Results. Tom Snyder Productions, Inc.
Royer, J. M., Tronsky, L. N., Chan, Y., Jackson, S. J., & Marchart, H. (1999). Math fact retrieval as the cognitive mechanism underlying gender differences in math test performance. Contemporary Educational Psychology, 24,
In this book, Bauerlein argues that technology as a whole has had the opposite of its intended effect on American youth. According to his argument, young adults in the United States are now entirely focused on relational interactions and, in his view, pointless discussions concerning purely social matters, and have entirely neglected intellectual pursuits that technology should be making much simpler. He calls on various forms of data in order to prove that the decline is very significant and quite real. This book is meant to be a thorough and compelling study on the reality of what technology has caused in the U.S.
Numeracy is a mathematical skill that is needed to be a confident teacher. This unit of study has allowed students to build their knowledge in the mathematical areas of competency and disposition towards numeracy in mathematics. The six areas of mathematics under the Australian Curriculum that were the focus of this unit were; algebra, number, geometry, measurements, statistics and probability. Covering these components of the curriculum made it evident where more study and knowledge was needed to build confidence in all areas of mathematics. Studying this unit also challenges students to think about how we use numeracy in our everyday lives. Without the knowledge if numeracy, it can make it very challenging to work out may problems that can arise in our day to day activities. The knowledge of numeracy in mathematics I have has strengthened during the duration of this unit. This has been evident in the mathematics support I do with year 9 students at school, as I now have a confident and clear understanding of algebra, number, geometry, measurements, statistics and probability.
Though when asked what number is ten less than 408 Joe answered “three hundred and ninety two”. Joe being unable to give the number that is ten less of 408 displays a misconception of the base ten number system and the role the tens play, Burns (2010). Joe did not display the understanding that 408 is 40 tens and 8 ones and when one ten is removed he is left with 39 tens and 8 ones giving him the answer of 398. This misconception was displayed again when Joe declared he was unable to partition 592. Joe could not see 592 as 4 hundreds, 19 tens and 2 ones or 5 hundreds, 8 tens and 12 ones. In addition to the misconception of the base ten number system and the role the tens play Joe displayed a misunderstanding of early multiplicative thinking. Joe was asked how many times bigger is 300 than 3 and how many times bigger is 300 than 30. Joe answered the multiplicative questions using subtraction giving the answers 297 and 270, respectively. The use of subtraction implies that Joe sees multiplication as addition and does not relate multiplication with division, Booker et al. (2014). Joe did not make the connection that 3 goes into 300 one hundred times therefore 300 is one hundred times bigger than 3. The same connection was not made for the second question, 30 goes into 300 ten times therefore 300 is ten times bigger than 30. At this point in the interview it was clear what areas of
This article goes into depth on the different components that make up breast milk’s nutrient content. The article also goes over the different types of milks that a mother produces when feeding her infant. It also brings up that every mother’s milk is different because breast milk will change itself based on an infant’s nutritional needs. Both authors work at the Center for Interdisciplinary Research for Human Milk and Lactation which means both authors have a strong knowledge about breast milk. All sources they
...ts work on the lessons independently or with a preservice teacher by using manipulatives or other mathematical tools it will allow them to fully grasp the concept that is being taught so they can do well in the long run of learning more complex mathematics.
All children learn differently and teachers, especially those who teach mathematics, have to accommodate all children’s different capacities for learning information. When teaching mathematics, a teacher has to be able to use various methods of presenting the information in order to help the students understand the concepts they are being taught. Most teachers in the past have taught mathematics through procedural lessons. Procedural lessons consist of having the students work with a concept over and over again until it is memorized. For example, children could be given homework assignments with the equation three times five over and over again until that equation is memorized.
Pateman, Neil A., Ed, et al. Proceedings Of The 27Th International Group For The Psychology Of Mathematics Education Conference Held Jointly With The 25Th PME-NA Conference (Honolulu, Hawaii, July 13-18, 2003). Volume 3. n.p.: International Group for the Psychology of Mathematics Education, 2003. ERIC. Web. 23 Apr.
Analysis – Both assessments will provide students with opportunities to demonstrate their leaning of decimal multiplication by relating base ten block to the area models. When students will be constructing decimals, I will be able to see if they understand that the flat represent the whole, a rod is equal to a tenth, and a unit represents a hundredth. The activities will reveal any misconceptions students may have about the place value, or I may be able to see whether students have struggled with making various exchanges with the base ten blocks. These pieces of information will reveal whether students have mastered a new
Langham, R. Y. "What Are the Causes of Teenage Pregnancy?" Livestrong. 16 August 2013. Web. 30 November 2014. <http://www.livestrong.com/article/146681-what-are-the-causes-of-teenage-pregnancy/>.
Students were also exposed to other division strategies like partial quotients ad traditional long division. They were assessed on this with an exit slip. The students in the “Minions” were able to perform the best on this, as these students are a bit more advanced and have been practicing on Summit as well. Students in the “Mickey Mouse Club” were able do well on this to, but they have shown to be stronger using just one strategy, not at applying both. The students in the “Looney Toons” and “Peanuts” struggled a bit with this, they were only asked to choose one strategy, but they were not able to do it successfully. They either made simply computation errors, or forgot a few essential steps. In order to help with this, a mnemonic device was created as
This annotated bibliography is made to explain the most arising question in the modern world of science and technology about the Robotic behavior as human beings. From many years, people have been striving to make a machine program which can analyze and do things like humans, and they have accomplished many miles in doing so, but according to latest reviews they are far away from achieving the purpose. The most common question which arises before developing any intelligent algorithm is, how humans do things they do, how humans see things, how they think, how they classify between objects and how every part of the body functions. For example if we consider image, then there are intelligent algorithms which can categorize objects and people
Wu, Y. (2008). Experimental Study on Effect of Different Mathematical Teaching Methodologies on Students’ Performance. Journal of Mathematics Studies. Vol 1(1) 164-171.
Shen, K., Crossley, J. N., & Lun, A. W.-C. (1999). The nine chapters on the mathematical art; Companion and commentary. Beijing.
Breaking down tasks into smaller, easier steps can be an effective way to teach a classroom of students with a variety of skills and needs. In breaking down the learning process, it allows students to learn at equal pace. This technique can also act as a helpful method for the teacher to analyze and understand the varying needs of the students in the classroom. When teaching or introducing a new math lesson, a teacher might first use the most basic aspects of the lesson to begin the teaching process (i.e. teach stu...
The early acquisition of mathematical concepts in children is essential for their overall cognitive development. It is imperative that educators focus on theoretical views to guide and plan the development of mathematical concepts in the early years. Early math concepts involve learning skills such as matching, ordering, sorting, classifying, sequencing and patterning. The early environment offers the foundation for children to develop an interest in numbers and their concepts. Children develop and construct their own meaning of numbers through active learning rather than teacher directed instruction.