Thursday, March 22, 2012


CURRICLULUM REVIEW
BY: BASHIR AHMED (PDT)

INTRODUCTION


Curriculum development is a dynamic process because it is reviewed and redesigned on the need and interest of learners as well as society. Hence, curriculum development is considering a deliberate, purposeful, planning activity that seeks to achieve general and specific intentions. Curriculum review is a fundamental part of curriculum development, in which curriculum developers review the existing curriculum according to its validity, reliability and subjectivity (Marsh, 1997). According to my understanding curriculum is reviewed at different stages i-e at aims level, in selecting content, organizing learning experiences and assessing learning outcomes. This paper is based on reviewing the existing curriculum at organizing learning experiences level. For reviewing learning experiences, classroom observations are appropriate approach to gather the relevant information.  Fortunately, I got a chance to observe the lesson of mathematics grade nine. I analyzed my findings on the basis of my observation.

This paper discusses the literature about curriculum review, methodology, data analysis and my reflection. The paper also contains my recommendations to incorporate different strategies to make the lesson more effective and a comprehensive conclusion at the end.

LITERATURE REVIEW

“We have learned a lot about teaching better mathematics but not much about teaching mathematics better” (Crosswhite as cited in Brumbaugh & Rcok, 2005).  Pursuing the history of teaching mathematics, teachers look for a magic method or strategy that serves for all students but there is no enchanted formula that fits for every learner. According to NCM (2006) “students learn things in many different ways. They do not always learn best by sitting and listening to the teacher.”  In this regard, teachers must realize that a variety of methods are necessary to meet the mathematical learning needs of all students. Teachers assume to play a new role as students are to construct their own mathematical understanding rather than just pouring mathematics knowledge into students’ head. Similarly, teachers create a stimulating environment that encourages mathematics learning through interaction (NCM, 2006). Therefore, the role of teacher is shifted from dispensing information to planning investigating task, managing a cooperative learning environment and supporting students’ creativity in developing rational understanding of the concepts (NCM, 2006). However, the concept of mathematical proficiency is change now and it is the comprehension of mathematical concepts and ability of formulate, represent and solve mathematical problems of daily life. As teacher of mathematics, it is to determine which method is most beneficial for mathematical learners and when these strategies may be most effective (Brumbaugh & Rcok, 2005).


I visited a Government secondary school in Karachi. With formal consent of the head teacher and class teacher, I gathered data by observing the classroom practices and interviewing teacher. For collecting relevant information, I developed a framework; visit plan, checklist, interview questionnaire, and a consent form (see annexure for details). Consent form is duly signed by the teacher and assured that the data will be used only for a report purpose.


Through exploratory responses from respondent and observation of events, I collected data. Furthermore, collected data from each source was reviewed, compiled and analyzed in the given guidelines of national curriculum for mathematics.


I observed that the teacher started the lesson without warming up the students and neither tried to know the students prior knowledge on the topic. Warming-up or knowing student prior knowledge is important activity of an effective lesson. The NCM (2006) suggests that teachers construct the mathematical understanding on students’ previous knowledge. In addition, according to (Brumbaugh & Rcok, 2006) constructivism is an effective approach for teaching mathematics because the constructivist classroom creates an environment that encourages learning. On the basis of my findings, I came to know that this important part of an effective lesson was missing.


The teacher asked student to open their books and started a question to solve on the blackboard. The teacher was explaining the procedure of the solution while students were copying the question from the blackboard. The NCM states that the untrained teachers solve the question step-by-step for students to memorize things without understanding their meaning and function. In my teaching, I also experienced that the memorized rules may work for limited rage of similar problems but students feel discomfort when they face different or challenging task. Similarly, copying other is called imitation and “imitation kill originality and initiative of the children” (Bhatia, Damral & Damral, 2005).  It shows that teacher expected to memorize and regurgitate the taught lesson for examination. This method also makes students totally depend on teachers which stop progressing thinking skills and self-esteem (NCM, 2006).

Moreover, teacher gave a question from book and asked students to solve it in their notes books. Few students solved the given question and shared with the teacher but many students were struggling to solve the given question. The teacher was not helping those students who were struggling and neither giving feedback to all the students. The NCM suggests that role of teacher is very important in teaching mathematics that teacher creates a stimulating environment because it encourages mathematics learners through increasing interactivity. Such kind of environment helps students to make a sense of mathematics and relate it to the real world. I did not observe any activity where students can interact with each other.

The NCM suggests that problem solving and inquiry based learning are effective approaches for teaching mathematics. In inquiry based learning students engage in such activities which involve observation, asking critical questions, experiences new things where students analyze on the basis of their findings and draw conclusions from their findings (Cutonilli, 2008). Where as, problem solving is a process which deal with issues and problems in a simple, systematic way to approach a problem with clearly defines steps so that students can relate the problem with their daily life (Bhatia, Damral & Damral, 2005). According to Marsh (1997)) problem solving and inquiry modes of instruction enable students to learn by doing and it is intrinsically very motivating to the students. But I did not find any practice of problem solving and inquiry approach during the lesson. The classroom practices were totally opposite from the NCM given strategies.


The teacher ended the lesson by repeating the same procedure (solving one question himself/herself and one question by students) twice without assessing students’ learning from the lesson. Without assessment it is difficult to say that students have learned the lesson because assessment is an important part of a lesson. Print (1988) states that without objectives there is no assessment and without assessment there is no teaching. NCM suggests teachers to use multiple ways of assessment to know students learning because single type of assessment makes students frustrated. Assessment gives an opportunity to support or provide feedback to learners and improve their ongoing learning (Rowntree as cited in NCM, 2006). This important part of a lesson was also missing in my observed lesson.


            When I reflected on all the teaching process and compare it with the national curriculum for mathematics, I found a gape between theory and practice. The theory presents an ideal picture for teaching mathematics. It has given all the guidelines for teachers that how to develop learning outcomes, create a learning environment, practice teaching and learning experiences and assess the student. But the observed lesson was missing all the above elements given in the NCM.

            Through interview, I came to know that the teacher was not aware with the national curriculum document and s/he considered textbook as curriculum. When I explained him/her about national curriculum document, s/he shared that they do not have any access to the curriculum document. It shows that lack of access to curriculum document teacher was not familiar with the standard of teaching mathematics and s/he was confine to textbook. The teacher was trying his/her best to transfer the knowledge of the book and prepare students for the board exams. On the other hand students were struggling to imitate the procedure without understanding its real application in their daily life.

            School must provide the national curriculum document to teachers so that teachers may familiar with the given processes of teaching and learning in the NCM and able to use them in their daily practices of classroom. Teaching without knowing NCM is like a ship in the sea without any specified direction to move.


Teachers’ trainings are very important to amalgamate the theory and practice. The NCM also highlights and researchers also pointed out those teachers who have good background of mathematics needed to rich their lesson. The trainings provide opportunities for teachers to improve their teaching and learning skills which are also important for inclusive education (Jones, 2004). As we know that there are students with multiple intelligences and have different learning styles. Different professional trainings help teachers to improve their instructional skills as well as provide guidelines to understand the learning disabilities and also know different learning styles.

Further, the school must provide the national curriculum document for the teachers so that they can well aware with directions or guidelines given by national curriculum. The school should not only provide the national curriculum but also allow the teachers to enrich the existing curriculum on the need basis. According to McGee (1997) teachers are the key curriculum decision makers because they are the ultimate implementers in the real context. Their professional role in curriculum development is to plan and implement an effective curriculum for their students. In addition, it is the context which shape the curriculum (McGee, 1997). Therefore, teachers must be at the forefront of any curriculum innovation. They should create their own changes in their local settings rather than to wait for curriculum changes at system level because they know better the needs and interest of their learners and society.

As NCM also suggests the problem solving and inquiring based learning therefore, teachers create an environment where students work actively, collaboratively and ask question. In this way students can solve the problems of their daily life using their prior knowledge because students involve actively in the learning process. This type of learning helps students to construct knowledge by building upon what they already know. Similarly, in both strategies teachers act as a facilitator to help/guide and provide support to the problem solving process (Cutonilli, 2008).

CONCLUSION


Curriculum review is a fundamental process of curriculum development. Therefore, curriculum review must be a regular practice of a school because teachers know better the needs and interest of the learners and society because they are the actual implementers of the curriculum in the real context and they can shape the curriculum accordingly.

REFERENCE:


Brumbaugh, D. K., & Rock, D. (2006). Teaching of secondary mathematics (3rd ed.). USA:
Lawrence Erlbaum Associate, Inc.

 Bhatia, K. K., Damral, B. D., & Damral, P. (2005).  Advanced psychology of teaching and learning
process. New Delhi: Kalyani Publishers.

 Cotonilli, T. (2008). Inquiry and simulation. Retrieved on 13/01/2010 from

Jones, C. A. (2004). Supporting inclusion in the early years. New York: Open University Press.

Marsh, C. J. (1997). Perspectives key concepts for understanding curriculum. UK: The Falmer Press.

Marsh, C. J. (1997). Planning management and ideology: key concepts for understanding
curriculum. UK: The Falmer Press.

McGee, C. (1997). Teachers and curriculum decision-making. New Zealand: Dunmore press.

 National curriculum for mathematics (2006). Government of Pakistan: Ministry of education
Islamabad.

Print, M. (1988). Curriculum development and design (2nd ed.). Australia: Allen & Unwin.


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