Problem-solving strategies

 

Identify student strengths and needs for future planning (as connected to students learning goals and standards). Engagement in this project will support teacher candidates in thinking about the ways in which students in early childhood mathematics settings exhibit both conceptual understanding and procedural fluency.
Beyond that, this project will provide opportunities teacher candidates to analyze both quantitative (numerical or categorical) and qualitative (descriptive or narrative) data and documenting student thinking and evaluating student thinking on a rubric.
Skills: The purpose of this assignment is to help you practice and implement the following skills, which are essential to your success in this course, as well as in teaching mathematics:
• Evaluating a performance assessment on a rubric
• Analyzing student’s problem-solving strategies
• Report on qualitative and quantitative data gained during assessment
Knowledge: This assignment will help you become familiar with the following important content and pedagogical knowledge in mathematics education:
• Identification of the ways in which young math learners demonstrate conceptual understanding and procedural fluency
• Strategies used to solve various problems involving the four operations
• Using questions to facilitate mathematical thinking and discourse during learning
• Using assessment to identify students’ strengths and future learning
• Plan for students’ future learning from strengths
• Make connections between students’ learning and standards
Task:
For this project, you will be given a set of second student data to us for your analysis. The participants for this data set are second grade mathematicians. You will be working on this project in class with your group, and then finishing it up on your own.
With your group analyze the students’ work (provided as a separate file) and provide a score on the provided rubric. Your group SHOULD NOT divide up the work samples but rather should come to a consensus about where to place each student on the rubric.
Once you have scored each student work sample, with your group discuss the following (I highly suggest having a group member take notes of your discussion):
• What quantitative (numerical or categorical) trends do you see in the whole class data? Summarize student learning via a chart or graph.
• What qualitative (narrative) trends do you see in the whole class data?
• What strengths did the students demonstrate?
• What struggles, partial understandings, and confusions students demonstrate in their work?
• What are the underlying mathematical ideas and misunderstandings these strengths and struggles are connected with (i.e prior learning experiences)?
• What would be an appropriate next step/targeted objective for the class? Use the data to justify your response.
On your own you will write up a summary the student data and your experience. The summary should be a representation of what you learned about the students’ knowledge and draw upon evidence from the student works as well as make connections to course readings. Be sure to attend to the following in your reflection:
a. How did this experience impact your abilities as a future teacher?
b. Specifically, how did this experience impact your ability to collect and analyze student data?
c. What quantitative (numerical or categorical) trends do you see in the whole class data? Summarize student learning via a chart or graph
d. What qualitative (narrative) trends do you see in the whole class data?
e. What strengths did the students demonstrate?
f. What struggles, partial understandings, and confusions students demonstrate in the interview?
g. What are the underlying mathematical misunderstandings these strengths and struggles are connected with (i.e prior learning experiences)?
h. What would be an appropriate next step/targeted objective for the class? Use the data to justify your response.
Criteria for Success:
In order to be successful on this assignment, you will need to submit the following items to both D2L and Chalk and Wire under the Assessment Assignment for 4408
• Your individual reflection
• Student Rubrics (1 rubric for each task completed the by the student- total of 3 rubrics per student)

 

Your work will be scored on the following rubric (highlighted portions will be scored in Chalk and Wire):
Exceeds Expectations Meets Expectations Approaching Expectations
Paper Format and Structure All components of paper are submitted including:
• Cover Page
• Completed Student Rubrics
• Reflective paper
• References in APA format
No grammatical, spelling or punctuation errors. Easy to read. Clear structure/organization. All components of paper are submitted including:
• Cover Page
• Completed Student Rubrics
• Reflective paper
• References in APA format
Some errors in grammar or spelling, but these do not impede the readability of the reflection 1 or more components of the paper is missing:
• Cover Page
• Completed Student Rubrics
• Reflective paper
• References in APA format
Numerous errors in grammar or spelling which impede the readability of the reflection

Reflective Paper (Experience) The ability to analyze data is addressed in the paper.
AND
The ability to use that analysis to improve their quality of instruction is clear in the paper.
The ability to analyze data are addressed in the paper.
OR
The ability to use that analysis to improve their quality of instruction is clear in the paper. Neither the ability to analyze data, or the ability to use that analysis to improve the quality of instruction is clearly addressed in the paper.

Reflective Paper (Quantitative Trends)
Trends are identified across the group in detail, making connections to standards and instructional needs.
Quantitative data connected to assessment is presented in a chart or graph with clear and thorough analysis. Trends are identified across the group, making connections to standards, strengths, and instructional needs Connections are vague, but emerging.
Quantitative data connected to assessment is presented in a chart or graph with some analysis.
Trends are identified across part of the group, but are minimally connected to standards, strengths and instructional needs.
Quantitative data connected to assessment is not presented in a chart or graph, or analysis of chart or graph is missing

Reflective Paper (Qualitative Trends)
Trends are identified across the group in detail, making connections to standards, strengths and instructional needs
Each student is discussed in detail with regard to their struggles, partial understandings, confusions and conceptions.
Trends are identified across the group, making connections to standards, strengths, and instructional needs Connections are vague, but emerging.
Most students are discussed with regard to their struggles, partial understandings, confusions and conceptions.
Trends are identified across part of the group, but are minimally connected to standards, strengths and instructional needs.
Some students are discussed in with regard to their struggles, partial understandings, confusions and conceptions, but this discussion is vague.

Reflective Paper (Next Steps)
The next steps designed are instructionally appropriate and based on the data collected. The data collected is clearly used to justify their decisions.
The next steps designed are instructionally appropriate and based on the data collected. Some of the data collected is used to justify this next step.
The next steps designed are not clearly connected with the data they collected. And/or the data collected is not used to justify their decisions.

Assessment Rubrics There are 3 completed assessment rubrics (one rubric per task) provided for ALL students. Assessment rubrics include thorough notes that accurately describe students’ work and utterances.
There are 3 completed assessment rubrics (one rubric per task) provided for some (more than half the class) of the students in the class.
OR
There are 3 completed rubrics for all of the students but they lack detail.
There are 3 completed assessment rubrics (one rubric per task) provided for some (less than half the class) of the students in the class.
OR
There are less than 3 completed rubrics for students in the class.
OR
There are 3 completed rubrics for all of the students and no notes with details are provided.

Sample Solution

Problem solving is the essence of what leaders exist to do. With as many problems as we are all faced with in our work and life, it seems as if there is never enough time to solve each one without dealing with some adversity along the way.  Problems keep mounting so fast that we find ourselves taking short-cuts to temporarily alleviate the tension points – so we can move onto the next problem. In the process, we fail to solve the core of each problem we are dealt; thus we continuously get caught in the trap of a never-ending cycle that makes it difficult to find any real resolutions.  Sound familiar?

Since the presentation of the 1990 NHS and Community Care Act it is never again a possibility for human administrations and open area associations to work in seclusion. Convenient (1997,p.18) has contended against the presentation of market standards into territories that are by and large viewed as the duty of the state welfare framework, since this could hurt the individuals who most required the assistance. This converging of human administrations with open part associations has implied that an expanding number of human administration laborers are utilized in the private segment. Human Service associations are contained medicinal staff and others, for example, executives, cooks and cleaners utilized by the NHS or in private practice, the police and probation benefits, the jail administrations, social administrations, and to a constrained degree those working in training. This task will take a gander at a portion of the impacts of current arrangements on the hierarchical structures of wellbeing/social consideration and accomplice associations. There will be an assessment of issues of intensity and imbalance in associations and an investigation of the thought of organization working. The accomplishment of such approaches will be investigated through the encounters of individuals with emotional well-being issues. Association working is most particularly important to individuals with psychological well-being issues and the Government has guaranteed more prominent focus on this in the White Paper that turned out this year, Our Health, Our Care, Our Say.[1] Associations Social administrations and Health Care are what as known as human administration associations, in other words they are there to help individuals out of luck.. Individuals working in social administrations by and large do so on the grounds that they are spurred by a craving to see that individuals get the sort of assistance that they need in the midst of emergency. Human Services work in the general population and the private area. Which ever territory an individual picks they are bound to look for some kind of employment in the human administrations on the off chance that they have had some related knowledge either work positions or some other intentional job. In social work earlier network contribution is viewed as a benefit. Most social specialists work in the open area. Social Services used to be known as close to home social administrations since social specialists are frequently worried about people and the consideration they may require. Social work is both run of the mill, and untypical, of the human administrations as a rule, initially its point is only that, giving an administration that advantages other individuals, in the second example social laborers are bound to be associated with individuals on an individual premise and regularly for a delayed timeframe. This last isn’t generally the situation in different territories of the human administrations (Postle et al, 2002). A social laborer who works in emotional wellness may wind up appended to a clinic just as to social administrations. This implies between office working which is winding up progressively basic in the human administrations particularly as the authoritative and strategy prerequisites of the1990 Care in the Community Act have progressively centered around wellbeing and social consideration offices working cooperatively with administration clients. This is progressively regular since the Government order ofJuly of last year.[2] Parliament chooses what social work comprises of. This is on the grounds that the Government characterizes the rules that framework social laborers duties. This incorporates the individuals that social specialists have a duty towards, the way wherein such obligations ought to be embraced, and the authoritative structure that supports the expert routine with regards to social work (Brayne and Martin, 1995). Social laborers need to maintain the code of routine with regards to the General Social Care Council and are bound by the 1970 Social Services Act as it applies to nearby specialists. Since 1998 social specialists are bound by law to regard the inalienable rights and poise of each human individual. Social laborers additionally must be comfortable with the 1990 Community Care Act and resulting enactment. Neighborhood Authorities are bound by the Disability Discrimination Act and a social specialist working with individuals with psychological wellness troubles would likewise need to know the provisions of this Act and the Chronically Sick and Disabled Persons Act of 1970. These educate social laborers’ choices. These may include characterizing psychological well-being challenges and in what ways their needs may best be tended to. This is especially so for Approved Social Workers. The social specialist has an obligation to play out an appraisal of requirement for anybody in the neighborhood is characterized as having a handicap, including emotional wellness troubles, regardless of whether the or not the individual demands an administration. Progressing preparing and advancement for expert social laborers is a prerequisite of the activity. On the off chance that you work in handicaps, especially emotional well-being then some social laborers may represent considerable authority in psychological well-being and work towards turning into an Approved Social Worker. Social laborers work inside a system that is educated by human rights and social equity and they should know when the code of training inside which they complete their obligations, is in opposition to the qualities basic this structure. Inside social work it is commonly acknowledged that all individuals are of worth and are qualified for be dealt with fairly and accommodatingly. Social specialists who manage clients who have psychological wellness issues presently need to work intimately with the NHS and with Voluntary Organizations, for example, Mind. Organization Working The Griffiths Report (1988) which was appointed by the Government suggested that neighborhood specialists ought to be ’empowering agents’, who sorted out and coordinated network care. Nearby specialists would never again be the sole suppliers of consideration, however would have their own spending limits to buy care from the private and willful part. This progressed toward becoming law under the 1990 Act the terms of which brought about an expansion in the weight of consideration for the social work calling. The Act accentuated organization working in all territories and social laborers presently need to counsel with experts from varying backgrounds so as to sufficiently accommodate their customers needs. The presentation of new working practices and the need for a more prominent level of between expert working has implied that the self-governance that social laborers once appreciated has been progressively disintegrated (Challis, 1991). Molyneux’s (2001)[3] investigation into fruitful between expert working built up three zones that added to the achievement of such associations. Staff should have been completely dedicated to what they were doing and individual characteristics of versatility, adaptability and a readiness to impart to others were high on the motivation. Normal and positive correspondence between experts was viewed as endemic to great working connections and administration conveyance. This correspondence was improved (in the examination) by the affectation of week after week case gatherings which enabled experts to share learning and encounters (2001, p.3). Convenient (1993) has contended that so as to work effectively together associations need to discover ideal or win/win arrangements instead of have their exchanges end in inefficient clash. A noteworthy issue with between expert working in associations is that the two sides can end up cautious of their positions (See Handy, 1993 ch.12). This is especially the situation when individuals are approached to accomplish something that conflicts with their expert morals and convictions (see ch.15). In this manner a social laborer would not be content with arrangements that didn’t, in their view, serve to enable customers with psychological well-being challenges. The consideration and strengthening of this customer gathering is a focal element of the 2006 White Paper which guarantees continuous consideration for those with psychological well-being troubles as well as for their carers as well.[4] These contentions are supported by Laidler (1991) on the grounds that so as to be effective crosswise over expert limits individuals should be certain of their own proficient job so as to have the option to step outside their expert independence and work effectively with others. It helps in between expert working if all individuals from the group are especially centered around the necessities of the administration client. Thusly individuals reach ‘proficient adulthood’. As indicated by Norman (1999) psychological wellness experts working inside groups were hesitant to obey choices taken by others since it undermined their very own proficient judgment. It doesn’t improve the situation when the Government focuses on the requirement for between expert working and afterward sets separate execution targets, as opposed to coordinated gathering ones. Hudson (2001) keeps up that since government has been worried to organize decision and present challenge in open administrations this has left experts with sentiment of frailty and an absence of confidence in authoritative foundation. It would be a pitiless incongruity if, having accomplished the sacred goal of neighborhood coordinated working, the administration, with Sedgefield’s nearby MP at its head, presently sets up measures that outcome in its disassembling (Hudson 2005 no page number).[5] Simultaneously Government anticipates that social consideration and wellbeing experts should work intently and cooperatively with administration clients. In social administrations there is very much an emphais on urging the client to take part in choices with respect to their consideration. In the NHS in any case, numerous experts still work with the possibility that the patient does as the expert lets them know. This makes it hard for social specialists who are urged to reduce the power differential among themselves and administration clients, this implies participating in hostile to harsh practice for example available language, and doing what they can to enable people. Social Services and Mind Psyche is a philanthropy that works for those with emotional wellness issues. The philanthropy focuses to the way that the correct sort of social consideration can go far to easing the pressure that emotional well-being troubles may bring, and which are frequently disregarded. As of not long ago psychological well-being clients gotten just a modest quantity of social consideration

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