Search Our Essay Database

Essay Instructions: Planning for teaching about place value and the number system

Overview
This assignment is based on one of the key underpinning elements of this unit, that is, a deep understanding of place value and related ?sense-making?. The assignment will draw on information from class activities and tasks, set readings, and personal literature searches in the area.
The task
? What are the key elements of teaching and learning about place value that are essential for helping children make sense of, and have a deep understanding of the Base ten number system?
? What do children need to know and experience in order to develop such sense and understanding?
As a guide, your assignment should contain the following elements:
? Introduction ? A brief description of the purpose of the paper and the issues it addresses.
? Main body of paper, with appropriate headings addressing questions such as ?
o What is number sense, and in particular, ?place value sense??
o What are essential ideas that children need to learn about place value?
o What misconceptions about place value and numbers might children develop and how can they be addressed or avoided?
o What sorts of activities help or hinder the development of understanding?
? Conclusion
o What are the important points and understanding that you have drawn from your paper relating to the teaching of place value?
? Reference List ? please check and use appropriate APA style
? Appendix (if required)


Assessment Criteria
Overall your work will be assessed according to the following general criteria.
? It demonstrates a capacity to reflect and react in critically relevant ways rather than merely describe.
? It demonstrates a capacity to synthesise and analyse ideas and relate them to teaching practices, while also illustrating the relationship between theory and practice;
? It is supported by modern, relevant mathematics education sources that are correctly acknowledged.
? It demonstrates a high standard of presentation and adheres to spelling and grammar conventions appropriate to a professional teacher.
? It incorporates appropriate information from university mathematics education classes (or online tasks) and set reading.
? Cut and paste style writing where sentences, quotes, and paragraphs are taken from online or paper sources and placed together without connection from an overall argument will be judged generally no more than a minimal pass.

Essay Instructions: Simplifying Expressions

Read the following instructions in order to complete this assignment, and review the example of how to complete the math required for this assignment:

Use the properties of real numbers to simplify the following expressions:


2a(a ? 5) + 4(a ? 5)


2w ? 3 + 3(w ? 4) ? 5(w ? 6)


0.05(0.3m + 35n) ? 0.8(-0.09n ? 22m)

Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, please make sure to include:


Your solution to the above problem, making sure to include all mathematical work.


Plan the logic necessary to complete the problem before you begin writing. For examples of the math required for this assignment, please review Elementary and Intermediate Algebra and the example of how to complete the math required for this assignment.


Show every step of the process of simplifying and identify which property of real numbers was used in each step of your work. Please include your math work on the left; the properties used on the right.


A discussion of why the properties of real numbers are important to know when working with algebra. In what ways are they useful for simplifying algebraic expressions?


The incorporation of the following five math vocabulary words into the text of your paper. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):


Simplify


Like terms


Coefficient


Distribution


Removing parentheses
For information regarding APA samples and tutorials, visit the

Essay Instructions: The storage and representation of numbers in a computer can lead to costly mistakes because of precision errors. When using floating point numbers, one must make sure that the correct number of digits is used in a calculation because rounding errors can produce values that lead to errors. Consider the floating point format, exponential format, and binary coded decimal (BCD).


- Analyze the floating point format in order to:
- Determine how floating point numbers are stored in memory.
- Discuss the ease or difficulty of manipulating and using floating point numbers in arithmetic calculations.
- Determine whether or not you believe that the floating point format is memory efficient. Provide a rationale to support your answer.
- Analyze the format used to store numbers using the binary coded decimal format. Determine whether the BCD format is more or less memory efficient than the floating point format.
- Compare and contrast the BCD format to the floating point format in terms of:
- precision
- performance in calculations
- memory usage
- Select the format (floating point format, binary coded decimal (BCD), or exponential format) that you would recommend for processing efficiency and explain why.
- Floating point numbers can introduce rounding errors in the banking industry, which may lead to financial benefit for the bank but not for the customer. Analyze the ethics of knowingly benefitting from rounding errors. Propose a plan on how the rounding error should be handled.
- Differentiate between the exponential format and the floating point format in terms of:
- format
- processing speed
- accuracy
Use at least three (3) quality resources in this assignment. Note: Wikipedia and similar Websites do not qualify as quality resources.

Essay Instructions: Phase 1 Discussion Board 2
Deliverable Length: 350-550 words
Details: The Telecommunications Group of DWI owns and Operates several local telephone companies. One service that DWI provides to its commercial customers is the use of "900 numbers" by which third-parties (clients of DWI customers) receive products & services. Billing for these products and services is delineated as charges owed to DWI instead of the business provider (e.g. Dudes with Dough, Lonely College Co-Eds, Madame Marie – Psychic to the Stars, etc.) and often blends into the small-print of phone bills and is overlooked by spouses, parents, and persons other than the third party user who might have access to the bill.

DWI owns and operates Appalachian Bell, the local service provider for the mountain areas of North Carolina and Tennessee. You've just received a letter from Dewey Cheatham, Esq., who represents Ma & Pa Kettle of Mountaintop, NC. About a month ago, an employee in DWI's accounts receivables department called the Kettle home regarding the $500.00 Delinquency on their phone account and attempted to collect the debt. The Kettles denied any knowledge of anyone using these services and refused to pay the charges.

Further investigation revealed that the phone calls to the dating hotline made from the Kettle phone were made by the Kettle's 12 year old grandson and some of his friends, who often spent weekends with them. What are the public law and private law implications of this scenario? Make a recommendation to the DWI Board as to policies it should implement to address future problems.

In your own words, please post a response to the Discussion Board and comment on other postings. You will be graded on the quality of your postings.

Post your comments to at least two other postings. Each comment must be at least 200 words in length. Use the 2X2 matrix to comment (i.e., two things you liked about the posting, and two things the student could have included to improve the posting including errors or excluding erroneous information). You will be graded on the quality of your postings.
Points Possible: 75
Date Due: Monday, Dec 01, 2008
Objective: Discuss public/private law and the legal environment of business.
Use effective communication techniques.

Submitted Files: Discussion Board
Score: N/A
Instructor Comments: Helpful Hints to fulfill "expectations": FTC = 900 number rule, FCC (Fed'l Trade Commission), Disputes, Rules for Children, Pay-per-calls, Fair Debt Collection Practices Act, "Red Flags", FSGO. Ethical concerns from our course book: Honesty, Fairness, Integrity.., just a few "key" topics that could be utilized. Good Day.