Sign Up Now
Get instant access to over 1 million+ study documents
OR
Already registered? click here to login
By creating your account, you agree to our terms of service, privacy policy and student honor code.
¶ … Value: Problem Solving and Written Assessment by: Sharon R. Ross
This paper provides an analysis of an article by Ross (2002), which describes the learning characteristics exhibited by young children in relation to a particular topic in mathematics, known as place value. Place value refers to the value assigned to each digit within a multiple-digit numeral, within the familiar decimal number system that is the basis for contemporary mathematics in academia and commerce. The premise of the article is that the concept of place value is inherently difficult for elementary grade students to grasp, and correspondingly difficult for instructors to teach. The reason for this difficulty is attributed to the complicated symbology inherent in the decimal system of numeration, which may be summarized as being the product of four mathematical properties, namely the additive, positional, base-ten and multiplicative elements inherent in each and every multiple-digit numeral. Ross (2002) describes a practical classroom study in which researchers analyzed the results of five problem-solving assignments administered to different groups of elementary school students between grades three and five. These assignments were designed to exercise the cognitive skills and aspects needed to deal with the four mathematical properties related to place value. Results of the experiment were compared between individual and collaborative group efforts to solve the assigned problems. As such, the rightmost digit in a numeral preceding the decimal point represents "ones," the next digit to the left represents "tens," the third digit to the left represents "hundreds," and so on. Children in the Ross (2002) study were assigned five problem solving tasks in which they were called upon to use intuitive, pictorial and group discussion methods to decide upon the relationship between parts of a given numeral and the actual count of objects in a given collection. The mathematical content involved in each of these five exercises will now be examined.
1. 144 Squares problem
In this exercise, students were made to collaborate in groups of four to assess whether several paper shapes with slight modifications had the same area as a 12 cm x 12 cm square, whose area was 144 cm2. The shapes to be compared included two rectangles and a square with clipped corners. Students were asked to identify the significance of each of the three digits comprising the number 144 relative to the area of the shape.
2. 124 Cubes problem
Groups of students in this exercise were asked to exercise their three-dimensional visualization capabilities to identify all possible ways to construct 124 cubes, using a fixed number of blocks with base-ten dimensions. Students…
References
Ross, Sharon, and Carol (ed.) Langbort. "Place Value: Problem Solving and Written Assessment." Mar. 2002. Web. 7 Feb. 2012.
Problem Solving Model for Classic Airline Company Overview Classic Airlines is ranked as the fifth largest airline globally with the net income of $10 million and $8.7 million operating revenue. Before 2008, the company recorded a net income of 71 billion and $8.5 billion operating revenue. However, evaluation of the company financial records reveals that Classic Airline recorded $61 million decrease in the net income within one year. Careful assessment of the
Problem Solving Case Study Merging Information Technology and Cultures at Compaq-Digital (B): Becoming a Single Firm The many challenges and opportunities evident for Compaq and Digital Equipment Corporation (DEC) illustrated in the case study Merging Information Technology and Cultures at Compaq-Digital (B): Becoming a Single Firm are analyzed and evaluated from a strategic perspective in this analysis. Both companies have drastically different cultures, which made the challenges, opportunities and threats of the merger
Problem Solving Systems Thinking, Technology, and Organizational Change Models of Problem Solving Different Approaches to Problem Solving Brainstorming Risk Assessment Flow Charts Mind Mapping Identification of Complex Problem Analyzing the Problem Identification of a Range of Potential Solutions Constraints Evaluation of Potential Solutions Phase IV Evaluating Progress Implementation Process Risk Assessment Accelerating Change Formative and Summative Evaluation Values and Ethical Issues Values Corporate Responsibility and Ethics Thinking and Decision Making Strategies Problem Solving Process Complex Problem Solving This section of the paper is focusing on the introduction of complex problem solving, which reflects the
China's Intellectual Property Rights: Current Issues, Strategic Considerations And Problem Solving In this paper, the focus is primarily on the Intellectual Property Rights (IPR) that are given to individuals within the Republic of China. The paper starts off by defining IPR and the different ways that IPR is provided like copyright infringement. The paper them moves on to define IPR and its progression in China through the imperialistic years, the era
Treatment of Criminal Offenders As a clinician, how can you apply the knowledge you gained from this course to more effectively serve your clients? A connection has been established by researchers between brutal and violent susceptibility to impair a particular area of the brain. Till date, several evidence, have assisted to bring into limelight the shady aspect of human attitude and might pave the way for important interference. For instance, several
That is, because students think that everything has a right and a wrong answer, thesis statements are incredibly difficult to articulate. The students do not understand how to argue, nor do they understand why this must be done. For me, this point stood out as most important because it is cross-departmental. Students coming into their undergraduate careers for the first time are often not taught to reason like a