My Philosophy of a Constructivist Mathematics Education

At what point does a student, in all intents and purposes, experience something mathematical? Does it symbolise a student that can remember a formula, write down symbols, see a pattern or solve a problem? I believe in enriching and empowering students’ mathematical experiences that fundamentally stems from a Piagetian genetic epistemological constructivist model that allow students to scaffold their learning through cognitive processes that are facilitated by teaching in a resource rich and collaborative environment (Thompson, 1994, p.69). The student Constructivist learning in mathematics should endeavour to encourage students to â€Å"construct their own mathematical knowledge through social interaction and meaningful activities†¦show more content†¦A skilled teacher will also construct an appropriate classroom environment where students openly discuss, reflect on and make sense of tasks set before them (Clements et al, 1990). Through pedagogical constructivism (Noddings, 1990, p.14) I believe that in order to teach well, â€Å"we need to know what our students are thinking, how they produce the chain of little marks we see on their papers, and what they can do (or want to do) with the material we present to them (Noddings, 1990, p.15).† Through pedagogical constructivism, teacher should warrant the use of more effective diagnostic tools, such as understanding ways of thinking, methodical errors and misconceptions (Noddings, 1990, p.15). This is achieved by using an array of effective teaching strategies. Justified Learning teaching strategies to develop understanding It is important to note that a student’s view of a subject is founded upon the experiences in which he/she is immersed in and this subsequently forms their expectations of mathematics (Knowles, 2009, p.29). The strategies that teachera employ should be both challenging but achievable and furthermore within Vygotsky’s zone of proximal development (ZPD). â€Å"Realting is the most powerful contextual teaching strategy and is at the heart of constructivism (Crawford et al, 1999, p. 34).† This is where students draw on their own life experiences and use their prior knowledge to address a problem or question at hand. It isShow MoreRelated My Philosophy of a Constructivist Mathematics Education Essay1285 Words   |  6 Pagesunderstanding (Van de Walle, 2007, p.27).† My philosophy of a constructivist mathematics education At what point does a student, in all intents and purposes, experience something mathematical? Does it symbolise a student that can remember a formula, write down symbols, see a pattern or solve a problem? I believe in enriching and empowering a student’s mathematical experience that fundamentally stems from a Piagetian genetic epistemological constructivist model. This allows the student to scaffoldRead MoreEssay Theoretical Stance on Learning and Teaching Mathematics1495 Words   |  6 Pagesthe Teaching of Mathematics – As a pre-service teacher, my philosophy of teaching Mathematics is based on a constructivist, student-centred approach. I have learned, through my practicum experiences, as well as Mathematics Education courses, which advocate this approach, that it is the most effective way to teach Mathematics. This essay will explicitly describe my philosophy, as well as explain and justify the specific teaching and learning strategies related to this philosophy, supported by theRead MoreExploring Inquiry Based Spatial Sense Activities1236 Words   |  5 Pagesteachers accountable for the education of America’s children. These initiatives are somewhat convoluted, but are in place to ensure that students who graduate our educational institutions are college and career ready. 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The NZC (MoE, 2007a) provides a distinct statement of the knowledge, competencies, and valuesRead MoreMy Beliefs As An Educator For Over Nineteen Years Essay1678 Words   |  7 PagesMy Beliefs As an educator for over nineteen years, I have witnessed many different styles and methods of teaching and learning. Reflecting on past years I see many different factors that have built my beliefs and philosophy on leadership, teaching and learning. While some beliefs have been established through formal education; most are a result of observation, trial-and-error, field-tested, real-time, relevant learning experiences. â€Å"Learning is how people make sense of their experience – learningRead MoreEssay on Special Education Reflection1336 Words   |  6 Pagesnbsp;nbsp;nbsp;nbsp;nbsp;Special Education 332 (Education and Inclusion of Individuals with Special Needs) has been enlightening for me as a secondary mathematics educator. In the beginning of the semester, my feelings towards special education were those of apathy and insensitivity. I now understand that my feelings were due to my lack of knowledge and my judgment based on stereotypes. I always knew that making fun of students with learning disabilities was wrong. However, I never felt that inclusion of special education studentsRead MoreSpecial Education Reflection1329 Words   |  6 PagesREFLECTION PAPER Reflection Paper En Tseh Wang Lehigh University Special Education 332 (Education and Inclusion of Individuals with Special Needs) has been enlightening for me as a secondary mathematics educator. In the beginning of the semester, my feelings towards special education were those of apathy and insensitivity. I now understand that my feelings were due to my lack of knowledge and my judgment based on stereotypes. I always knew that making fun of students with learningRead MoreMy Teaching Ideas and Theory Applications2728 Words   |  11 PagesI believe every child can succeed in mathematics, and it is my role to unlock this potential. I aim to teach in ways that help children develop cooperation, assertion and responsibility, as well as a good understanding of subject matter. I believe this can be achieved by creating a culture in the classroom that is built gradually on trust, with a common language, through rules that we create together, and by practicing procedures until they become nearly automatic. I aim to use the resources, materialsRead MoreThe Effect Of Inquiry Based Learning On Pupils Understanding2214 Words   |  9 PagesINQUIRY – BASED LEARNING ON PUPILS’ UNDERSTANDING Two of the three aims of the national curriculum for mathematics in England states that pupils should be able to: †¢ reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language †¢ solve problems by applying their mathematics to a variety of routine and non - routine problems with increasing sophistication, including breaking downRead MoreEssay on My Philosophy of Education1613 Words   |  7 PagesWhen asked how one would define education many may say it is learning subjects such as Mathematics and English, being tested to see what one has absorbed and that the subsequent marks indicate the level of one’s success. Until recently, due to my experiences in education, I too agreed with this as well as believing that I was of a certain ability level. Only now, through having being introduced to various learning theories, experiences and influences during teacher training have I started to develop

Replacing Fossil Fuels With Renewable Energy - 1931 Words

Replacing Fossil Fuels with Renewable Energy Josh Decker Edina High School Abstract Over the past several years, scientists have researched the impact fossil fuels currently have on our world today. These sources of energy have an irreversible and devastating consequence on our environment. Fossil fuels are disliked due to being non-renewable and unsustainable. As more technological advancements have occurred, more efforts have arisen related to replacing fossil fuels with renewable sources of energy. Due to the integration of existing technology the public has become reluctant to adopt new energy technologies. Renewable energy brings many desirable health, environmental, and economic benefits. These renewable methods may ultimately provide a brighter future for generations to come. Replacing Fossil Fuels with Renewable Energy The U.S. Energy Information Administration (2015) reports that the United States consumed approximately 19.4 million barrels of petroleum products daily, which calculated to an overall total of 7.08 billion barrels by the end of 2015 (para. 2). The United States population consumes a huge quantity of oil alone, in addition to all of the other fossil fuels that it also greatly depends on. Fossil fuels are a natural resource that is in limited supply, and they provide an efficient and consistent supply of power to communities all over the planet. Many people are pleased with the short-term advantages theseShow MoreRelatedU.s. Should Replace Fossil Fuel With Renewable Energy994 Words   |  4 PagesGomez Professor Melissa Tran English 061 26754 14 November 2016 Renewable Energy The U.S. should replace fossil fuel with renewable energy. There are many reasons that the U.S. can use renewable energy to improve the economy. 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Abnormal Psychology Critique Free Essays

Changes in impairment level, functional status, and use of assistive devices by older people with depressive symptoms. Dayao, Arveene L. BS Psychology II – 01 Manila Tytana Colleges To be submitted to : Ms. We will write a custom essay sample on Abnormal Psychology Critique or any similar topic only for you Order Now Sheila Laine Dela Paz Date submitted : January 30, 2012 ABSTRACT This study sought to understand how functional status, impairment level, and use of assistive devices change over 3 years for older adults with depressive symptoms. I further explored factors that predict change in severity of depressive symptoms. During 3 years, participants experienced ncreased physical disability, a decline in severity of depressive symptoms, and an increase in the total number of assistive devices owned. A significant number of older adults will experience a decrease in depressive symptoms over 3 years, despite an increase in physical disability. They also will obtain more assistive devices as they age. The specific issue that stands out in the journal is relative to the various changes in impairment level, functional status and use of some suggested assistive devices that could be used by older people who suffer symptoms of depression. I do very much agree how the author ouched the subject and exp lained depression among the older people. There is nothing from the journal article that I disagree about. The points presented by the author about the existence of this feeling of depression among the older people are true and satisfactory. The second journal that I have, Suicide In Older Adults : Nursing Assessment Of Suicide by Linda Garand, PhD, APRN, BC, Ann M. Mitchell, PhD, RN, AHN, BC, Ann Dietrick, MSN, APRN, BC, Sophia P. Hijjawi, BSN, RN, and Di Pan, BSN, RN, is somewhat parallel to my first journal. This second article talks about suicide in older adults. It is being discussed here that suicide and attempted suicide is associated with depression, psychosis and substance abuse among younger individuals, yet among older adults, depression and co morbid medical conditions play important contributory roles. Same as what was being talked about in the first article. The issue that attracts my attention is on the prevalence of suicidal behaviors in older adults and lays a foundation for understanding the role of risk factors in the prevention of suicide. Just like in the first article, the issue focuses more on depression on older adults. It has been proven that the older adults are the one that easily get depressed than the younger ones. Just as no single factor is universally causal, no single intervention will prevent all suicides. The multi-dimensionality of suicide presents great challenges, but also has important implications for prevention. Suicide in late life must be understood as a complex combination of interactive effects in which mood disorders take a central role. Our ability to more precisely target preventive interventions will hinge on a better understanding of those relationships. Until then, urses and others must be diligent in the identification of older adults at risk for suicide. Subgroups of older adults at high risk for suicide include those with depressive illnesses, previous suicide attempts, physical illnesses, and those who are socially isolated. Therefore I can say, that major depression is the most common diagnosis in older adults (of both sexes) who attempt or complete suicide. This stud y used data from Rehabilitation Engineering Research Center on Aging Consumer Assessment Study, a longitudinal study of coping strategies of elders with disabilities. Seventy-three participants with depressive symptoms were interviewed at baseline and 3 years later. I believe that the author used the most appropriate method because they have come about with good results. And thus, there is no other appropriate or suitable way to test the depressive symptoms of older people than having a study or conducting a survey on a rehabilitation center. For me, application through conducting tests would be the best idea to prove whether the issue is correct or not. The journal article fully and clearly explains what depression is all about that affects the lder people. It is notable that depression happens to some people more especially the old ones who are said to be prone to the disorder. Upon relating the topic to my course, such situation is under the field of Abnormal Psychology. The field is of great importance to students taking up Psychology course like me who would desire to pursue the field of Clinical Psychology. As depression is common and could happen to everyone, this study is applicable to all. Through it, we shall have a clear idea of the appropriate way to do if ever we meet or experience a feeling of depression. Above all things, this will be a great help to me who would really like to be a successful Clinical Psychologist in the future. REFERENCES Mann, William C. , et al. â€Å"Changes in impairment level, functional status, and use of assistive devices by older people with depressive symptoms. †Ã‚  AJOT: American Journal of Occupational Therapy  62. 1 (2008): 9+. InfoTrac Custom 100 Titles. Web. 19 Jan. 2012. Document URL http://find. galegroup. com/gtx/infomark. do? source=galesrcprod=SP00prodId=SPJ. SP00u serGroupName=phmtctabID=T002docId=A208219498type=retrievecontentSet=IAC- Documentsversion=1. 0 Agree, E. , Freedman, V. (2003). A comparison of assistive technology and personal care in alleviating disability and unmet need. Gerontologist, 43, 335-344. American Psychiatric Association. (1994). Diagnostic and statistical manual of mental disorders (4th ed. ). Washington, DC: Author. Bergner, M. , Bobbitt, R. , Pollard, W. , Martin, D. , Gilson, B. (1976). The Sickness Impact Profile: Validation of a health status measure. Medical Care, 14, 57-67. Bradburn, N. (1969). The structure of psychological well-being. Chicago: Aldine. Center for Functional Assessment Research. 1990). Guide for use of the Uniform Data Set for Medical Rehabilitation (Version 3. 1). Buffalo, NY: Author. Chen, T. Y. , Mann, W. C. , Tomita, M. , Nochajski, S. (2000). Caregiver involvement in the use of assistive devices by frail older persons. Occupational Therapy Journal of Research, 20, 179- 199. Federal Interagency Forum on Aging-Related Statistics. (2004). Older Americans 2004: K ey indicators of well-being. Washington, DC: U. S. Government Printing Office. Fillenbaum, G. G. (1988). Multidimensional functional assessment of older adults: The Duke Older American Resources and Services procedures. Hillsdale, NJ: Erlbaum. Fillenbaum, G. G. , Smyer, M. A. (1981). The development, validity, and reliability of the OARS Multidimensional Functional Assessment Questionnaire. Journal of Gerontology, 36, 428-434. Folstein, M. , Folstein, S. E. , McHugh, P. (1975). â€Å"Mini-Mental State†: A practical method for grading the cognitive state of patients for the clinician. Journal of Psychiatric Research, 12, 189- 198. Gilson, B. S. , Gilson, J. S. , Bergner, M. , Bobbit, R. A. , Kressel, S. , Pollard, W. E. , et al. (1975). The Sickness Impact Profile: Development of an outcome measure of health care. American Journal of Public Health, 65, 1304-1325. Hamilton, B. , Granger, C. , Sherwin, F. , Zielenzy, M. , Tashman, J. (1987). A uniform national data system for medical rehabilitation. In M. Fuhrer (Ed. ), Rehabilitation outcomes: Analysis and measurement (pp. 137-147). Baltimore: Paul H. Brookes. Hamilton, M. (1960). A rating scale for depression. Journal of Neurologic Neurosurgical Psychiatry, 23, 56-62. Hoenig, H. , Taylor, D. , Sloan, F. (2003). Does assistive technology substitute for personal assistance among the disabled elderly? American Journal of Public Health, 93, 330-337. Kruskal, W. , Wallis, W. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47, 583-621. Lebowitz, B. , Pearson, J. , Schneider, L. , Reynolds, C. , Alexopoulos, G. , Bruce, M. , et al. (1997). Diagnosis and treatment of depression in late life. Journal of the American Medical Association, 278, 1186-1190. Lenze, E. , Schulz, R. , Matire, L. , Zdaniuk, B. , Glass, T. , Kop, W. , et al. (2005). The course of functional decline in older people with persistently elevated depressive symptoms: Longitudinal findings from the cardiovascular health study. Journal of the American Geriatric Society, 53, 569-575. Lubin, B. (1967). Manual for the Depression Adjective Check Lists. San Diego, CA: Educational and Industrial Testing Service. Mann, W. , Llanes, C. , Justiss, M. , Tomita, M. (2004). Frail older adults’ self-report of their most important assistive device. Occupational Therapy Journal of Research: Occupation, Participation, and Health, 24, 4-12. Mann, W. , Ottenbacher, K. , Fraas, L. , Tomita, M. , ; Granger, C. (1999). Effectiveness of assistive technology and environmental interventions in maintaining independence and reducing home care costs for the frail elderly. Archives of Family Medicine, 8, 210-217. Noel, P. , Williams, J. , Unutzer, J. , Worchel, J. , Lee, S. , Cornell, J. , et al. (2004). Depression and comorbid illness in elderly primary care patients: Impact on multiple domains of health status and well-being. Annals of Family Medicine, 2, 555-562. Ottenbacher, K. , Mann, W. , Granger, C. , Tomita, M. , Hurren, D. , ; Charvat, B. (1994). Inter- rater agreement and stability of functional assessment in the community-based elderly. Archives of Physical Medicine and Rehabilitation, 75, 1297-1301. Pollak, N. , Rheult, W. , ; Stoecker, J. 1996). Reliability and validity of the FIM for persons aged 80 years and above from a multilevel continuing care retirement community. Archives of Physical Medicine and Rehabilitation, 77, 1056-1061. Pollard, W. , Bobbitt, R. , Bergner, M. , Martin, D. , ; Gilson, B. (1976). The Sickness Impact Profile: Reliability of a health status measure. Medical Care, 14, 146-155. Pollock, B. , ; Reynolds, C. (2000). Depression late in life. Harvard Mental Health Letter, 17, 3-5. Pollock, B. , ; Weksler, M. (2000). Clinical update: How to recognize and treat depression in older persons. Geriatrics, 55, 67-7 . Raccio-Robak, N. , McErlean, M. , Fabacher, D. , Milano, P. , ; Verdile, V. (2002). Socioeconomic and health status differences between depressed and non-depressed elders. American Journal of Emergency Medicine, 20, 71-73. Radloff, L. (1977). The CES-D scale: A self-report depression scale for research in the general population. Applied Psychological Measurement, 1, 385-401. Radloff, L. , ; Locke, B. (Eds. ). (1986). The community mental health assessment survey and the CES-D scale. In M. M. Weissman, J. K. Myers, ; C. E. Ross (Eds. , Community surveys of psychiatric disorders (pp. 177-189). Piscataway, NJ: Rutgers University Press. Raskin, A. , Schulterbrandt, J. , Reatig, N. , ; McKeon, J. (1969). Replication of factors of psychopathology in interview, ward behavior, and self-report ratings of hospitalized depressives. Journal of Nervous and Mental Disease, 148, 87-96. Roelands, M. , Van Oost, P. , Buysse, A. , ; Depoorter, A. (2002). Awareness among communit y- dwelling elderly of assistive devices for mobility and self-care and attitudes towards their use. Social Science and Medicine, 54, 1441-1451. Rosenberg, M. (1965). Society and the adolescent self-image. Middletown, CT: Wesleyan University Press. Substance Abuse and Mental Health Services Administration, Center for Mental Health Services, ; National Institute of Mental Health. (1994). Mental health: A report of the Surgeon General— Executive summary: Chapter 5–Depression in older adults. Rockville, MD: Authors. Retrieved February 13, 2003, from http://mentalhealth. org/features/surgeongeneralreport/chapter5/sec3. asp Schiller, J. , Bernadel, L. (2004). Summary health statistics for the U. S. opulation: National Health Interview Survey, 2002. Vital Health Statistics, 10(220) 1-101. Tomita, M. , Mann, W. , Fraas, L. (2004). Predictors of the use of assistive devices that address physical impairments among community-based frail elders. Journal of Applied Gerontology, 23, 141-155. Verbrugge, L. , Sevak, P. (2002). Use, type, and efficacy of assistance for disability. Journals of Gerontology Series B: Psychologi cal Sciences and Social Sciences, 57B, S366-S37 . Wechsler, D. (1955). Manual for the Wechsler Adult Intelligence Scale. New York: Psychological Corporation. Westfall, P. , ; Young, S. (1993). Resampling-based multiple testing: Examples and methods for p-value adjustment. New York: Wiley. Wilcoxon, F. (1945). Individual comparisons by ranking methods. Biometrics, 1, 80-83. William C. Mann, OTR, PhD, is Chairperson and Distinguished Professor, Department of Occupational Therapy, University of Florida, P. O. Box 100164, Gainesville, FL 32610-0164; wmann@phhp. ufl. edu Jessica L. Johnson, MA, OTR/L, is Research Assistant, RERC-Tech-Aging, Rehabilitation Science Doctoral Program, University of Florida, Gainesville. Lisa G. Lynch, MHS, OTR/L, is Occupational Therapist and Owner, Creative Therapy Works, Inc. , Lake Worth, FL. Michael D. Justiss, PhD, OTR/L, is Assistant Professor, Department of Occupational Therapy, Indiana University-Purdue University at Indianapolis. Machiko Tomita, PhD, is Associate Professor, Department of Rehabilitation Science, University at Buffalo, State University of New York. Samuel S. Wu, PhD, is Assistant Professor, Department of Epidemiology and Health Policy Research, University of Florida, Gainesville. How to cite Abnormal Psychology Critique, Essay examples