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TEACHERS’ COMPETENCIES IN ASSESSING STUDENTS’ AFFECTIVE OUTCOME IN SECONDARY SCHOOL MATHEMATICS

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ABSTRACT

The study investigated teachers’ competencies in assessing students’ affective

outcome  in  secondary  school  mathematics  in  Nsukka  Education  Zone  of Enugu State. Seven research questions and three hypotheses guided the study. To carry out the study, descriptive survey research design was adopted. The population of the study was 134 mathematics teachers’ from the 60 government owned secondary schools in Nsukka Education zone. The sample

for  the  study  was  63  mathematics teachers’. Questionnaire on  Teachers’ competencies in assessing students’ affective outcome (QTCAAO) was used as the instrument for data collection. The research questions were answered using mean and standard deviation while the hypotheses were tested using t- test. The findings of the study revealed that mathematics teachers’ possess the competencies in developing affective assessing instrument, possess the competencies in gathering data on students’ affective behaviors but do not possess the competencies in scoring and interpreting of affective instrument as well as in using data from affective instrument to direct instruction. Results also revealed statistically significant influence of mathematics teachers’ qualification and experience on competencies in assessing affective outcome of students. Gender was not a significant factor.

CHAPTER ONE INTRODUCTION

Background of the Study

Education in Nigeria has become an instrument for attaining national development. It is highly rated as the most important instrument of change, since any change in the intellectual and social outlook of the people must be preceded by an educational revolution (Federal Republic of Nigeria, FRN,

2004). Thus, National Policy on Education identified the main national goals of Nigeria which should be achieved through education to include:

   To have a nation that is free, just and democratic in outlook;

     To have a land full of opportunities for all citizens and able to generate a great and dynamic economy and

     Growing into a united, strong and self-reliance nation (FRN, 2004). All these reflect the increasing need and desire for scientific and technological advancement

In fact the national philosophy of education in Nigeria is geared among other things, towards social, cultural, economic, political, scientific and technological progress (FRN, 2004). This philosophy can only be attained if Nigeria citizens are properly equipped with necessary knowledge and skills offered in science especially mathematics.

Mathematics is a universal part of human culture. It is the tool and language of commerce, engineering and other sciences. Mathematics plays a vital, often unseen roles in many aspects of modern life such as space travel, business, decision making, modeling the spread of epidemics, predicting stock market prices and so on. The mathem1 atics curriculum document for schools in

New Zealand considers the nature of mathematics thus:

d  inter gination  

Mathematics makes use of specific language and skills to

model,  analyze  an   1

pret  the  world…  it  involves

creativity and ima              in the discovery of patterns of

shape and number, the perceiving of relationships, the making of models, the interpretation of data, and the communication of emerging ideas and concepts. (Ministry

of Education, New Zealand, 1992).

Awodeyi (2004) opined that mathematics has always been seen as a factor in the  prosperity, development and  undertaking of any nation. According to Ukeje (1997), without mathematics there is no science, without science there

is no modern technology, and without modern technology, there is no society. In the same vein, Usman (2002) noted that mathematics is a subject that encourages all aspects of human endeavor and has been described as the life wire in the study of various disciplines. Mathematics opens up the mind to logical reasoning and analytical thinking. Harbor-Peters (2001) stated that the acquisition of mathematical skills is mandatory for proper intellectual development. This is why every student needs to be given opportunity to learn as  much  mathematics as  he/she  can  in  order  to  function effectively and intelligently in the society.

According to the Nigerian Educational Research and Development Council, NERDC, (2012), the mathematics curriculum of the basic education level aims at giving the learners the opportunity to:

     Acquire mathematical literacy necessary to function in an information age;

     Cultivate the understanding and application of mathematics skills and concepts necessary to thrive in the ever changing technological world;

     Develop  the  essential  element  of  problem solving,  communication, reasoning and connection within the study of mathematics;

     Take  advantage  of  the  numerous  career  opportunities  provided  by mathematics;

     Become prepared for further studies in mathematics and other related fields.

All these give credence to the importance of mathematics both to the individual in particular and the society at large. This importance is clearly reflected in its status as a compulsory subject for all learners at basic and

secondary school levels (FRN, 2004). Due to the great importance attached to the learning of mathematics, it becomes imperative to assess learners’ achievement in mathematics so as to find out whether learning is taking place or not.

Assessment, according to Nworgu (2014) refers to a systematic process of gathering data from a variety of sources in order to understand, describe and improve learning. In education, three domains are usually assessed. They are cognitive, affective and psychomotor domains. Cognitive domain includes those  objectives  that  deal  with  thinking,  memory,  knowing and  problem solving. Psychomotor domain covers those objectives which deal with muscular and motor skills or manipulations of material and objects, or activities that have to do with muscular coordination (Krathwohl, Bloom and Masia, 1973).  Krathwohl et  al,  further described the  affective domain as falling into five levels namely: receiving, responding, valuing, organization and  characterization.  Affective  domain  also   includes  objectives  which describe  changes  in  interest,  attitude  and  values  and  the  development of appreciation and adequate adjustment. It is concerned with the worth a learner attaches to a phenomenon which is reflected by active participation on the part of the learner.

To  assess all these domains properly, the  continuous assessment is used. Continuous assessment has been adopted as the mode of assessment at all  levels  in  Nigeria  (FRN,  2004).  This  was  introduced  to  liberalize educational assessment. This mode of assessment is expected to take into cognizance the overall ability of the learner (cognitive, affective and psychomotor) at all levels of the programme. However, the use of continuous assessment  in  assessing  learners’  overall  ability  has  not  been  effective.

According to Offorma, Esere and Idowu as cited by Nworgu (20l4), continuous assessment has continued to focus only on the cognitive domain to the exclusion of the affective and psychomotor domains. This is in line with Popham’s (2011) view that most classroom teachers do not devote attention directly to students’ affective constructs, and even greater number of teachers fails to assess them. However, it is entirely conceivable that potentially the largest piece of the puzzle (poor performance of learners), to which educators, educational leaders and legislators seek a solution, remains dormant. What is often forgotten is the fact that the cognitive and affective domains go hand-in- hand; they do not and should not function independently but should complement one another. Although, increasing what students know and are able to do is primary, their content-related attitudes, values, beliefs and disposition are at least equally significant. Popham (2011) further asserted that affective variables are often more significant than cognitive variables. Therefore, to teach any concept, principle or theory is to teach, not only for its comprehension, but also for an attitude towards it, the acceptance or rejection of it as useful or dependable and so forth (Smith, 1996). It is thus important to assess this domain of behavior. To assess learners’ behavior (cognitive, psychomotor or affective), the teacher plays a vital role.

Teachers are the implementer of the curriculum. Ali (1988) observed that  assessing  the  learning  outcome  of  learners  is  directly  significantly affected by the competency of the teacher. It therefore becomes necessary to know the extent to which mathematics teachers are competent in assessing students especially in the affective domain.

Competency,  according  to  University  of  Nebraska-Lincoln,  Human

Resource (UNL, HR) (2015) is the combination of observable and measurable

knowledge, skills, abilities and personal attribute to enhance employee performance and ultimately result in organizational success. To understand competencies,   it   is   important   to   define   the   various   components   of competencies namely:

     Knowledge is the cognizance of facts, truths and principles gained from formal training and/or experience. Application and sharing of one’s knowledge base is critical to individual and organization success.

     A skill is a developed proficiency or dexterity in mental operations or physical processes that is often acquired through special training; the execution of these skills results in successful performance.

     Ability is the power or aptitude to perform physical or mental activities that are often affiliated with a particular profession or trade such as computer programming, plumbing, calculus and so forth.

     Individual  attributes  are  properties,  qualities  or  characteristics  of individuals that reflect one’s unique personal makeup. Individual attributes are viewed as genetically developed or acquired from one’s accumulated life experiences (UNR, HR, 2015).

The above definition made the researcher view competency in relation to teacher’s qualification, experience and gender. A teacher is seen as a store of knowledge acquired and adapted to meet the demands of the teaching profession. It thus becomes necessary to look at the educational qualifications of teachers as they relate to competencies in assessing affective outcome of mathematics students.  Teachers’ either qualified or  unqualified may  have varied  teaching  experiences.  Whether  teachers’  teaching  experiences  will

influence these competencies in assessing students’ affective outcome is of interest in this study.

Experience they say is the best teacher and success can be attained in the class if the teacher combines experiences with professional training. With this in mind, the researcher deemed it fit to judge the competence of a teacher in assessing affective outcomes in relation to years of experience on the job. Ewetan and Ewetan (2015), found out that teacher’s teaching experience has significantly influenced student’s academic performances in mathematics as measured by their performance in the Senior School Certificate Examinations and as perceived by the respondents. Oyewole (2011) revealed that there was a significant relationship between teachers’ years of experience and teacher’ job  performance.  In  a  similar  study,  Joshua,  Ekanem  and  Agborbechem (2010) showed among other things that teacher effectiveness was not significantly influenced by any of the three teacher characteristics (gender, academic qualification and teaching experience). The results of these studies are contradictory thus the need for this study.

Of interest in this study also is the influence of teachers’ gender on their competencies in assessing students’ affective  outcome.  Teachers’  may be classified based on their  gender as either male or  female. Gender of the teacher may also influence the acquisition of knowledge, skills and attitudes. Soldan (1990) tested a number of variables and found that gender was not a factor affecting the performance of a teacher. On the contrary, Ndubisi (1999) stressed that the social background, age and gender of the teacher, among other things, determine how the teacher performs. Okoro, Ekanem and Udoh (2012), showed that the academic performance mean scores of pupils taught by male teachers do significantly differ from those of pupils taught by female

teachers with the latter performing better than the former. Odunaike, Ijaduola and Amode (2013), tested a number of variables and found out that female teachers put extra efforts in ensuring high standard of performance by students to  their  male counterparts who  perceive  teaching as  a  profession for the weaker sex (females). Heather, Ozkan and Serkan (2012), studied the effects of teacher gender on student achievement. The study revealed that female students who were assigned to a female teacher suffered from lower mathematics test scores at the end of the academic year. Oreopoulous and Hoffman (2009), revealed that teacher’s gender plays only a minor role in determining college students achievements. Based on the contradictory nature of the findings of these studies, this study will among other things, find out the influence of gender, experience, and educational qua1ification of mathematics teachers on the competencies in assessing the affective outcome.

Statement of the Problem

More than three decades after the introduction of continuous assessment in the education programme, most teachers have continued to focus only on the cognitive domain to the exclusion of the affective and psychomotor domains.  This  implies  that  the  overall ability of  the  learner  may  not  be assessed. The continuous assessment programme gives the teacher the task of giving evidence of the child’s achievements in the affective domain as well as cognitive and psychomotor domains. For the teacher to be able to do this effectively, the teacher needs to possess certain competencies. This brings about the questions on the competencies possessed by a teacher for effective assessment of achievement in the affective domain.

In view of the above, the problem of this study posed as a question is: What are the competencies possessed by mathematics teachers in assessing students’ affective outcome in secondary schools?

Purpose of the Study

The purpose of the study will be to identify the competencies possessed by mathematics teachers for assessment of affective outcome. Specifically, the study will:

     Determine mathematics Teacher’s competence in developing affective instrument

     Determine  mathematics Teachers’  competence  in  gathering data  on students’ affective behavior

     Determine   mathematics   Teachers’   competence   in   scoring   and interpreting affective instrument

     Determine  mathematics  Teachers’  competence  in  using  data  from affective instrument to direct instruction.

     Determine the influence of qualification on the competency ratings of mathematics teachers in assessing students’ affective outcome.

      Find out the influence of experience on the competency ratings of mathematics teachers in assessing students’ affective outcome.

     Find  out  the  influence  of  gender  on  the  competency  ratings  of mathematics teachers in assessing students’ affective outcome.

Significance of the Study

The findings of this study will be of theoretical significance in that it will provide  insight  into  the  Mandler’s theory on affect. Mandler (1989) proposed that most affective factors arise out of the emotional responses to the interruption of plans or planned behavior. Teachers will be in a better position to tell how affective behaviors arise if teachers are competent in assessing affective behavior of learners, thus strengthening the tenents of Mandler’s theory on affect.

Rosenberg in 1956, proposed the cognitive-affective consistency theory that examines the relationship between attitude and beliefs and posits that individuals are in an unstable state when their attitudes towards an object, event or person and their knowledge about that object, event or person are inconsistent (Simson & Maushak, 2010). This theory suggested further that the affective components of the attitude system may be changed by providing main information (changing the cognitive component) via a persuasive message. Teachers will be in a better position to tell how this behavior affects learning negatively, as posited by affective cognitive theory by providing new information that brings about change in the cognitive component.

This study will also be of great significance to the teachers, students, society, the government and educational institutions. Teachers are curriculum implementers and thus should be competent in all the activities of teaching and learning. The mathematics teachers through the findings of this study will become aware of the competencies possessed for effective assessment of the affective outcome. This  will  help them know their areas  of strength and weaknesses and through retraining seminar and workshop improve on them.

The findings of this study will be of benefit to mathematics students. The characteristics of teachers (such as content knowledge, pedagogical skills, as well as knowledge and skill of assessment) influences students’ performance. Thus, when teachers become aware of the competencies possessed for assessment of the affective outcome and also improve on them, they will be able to assess their students in this important domain and as a result help the students develop positive attitude, interest as well as hold certain beliefs about mathematics and themselves which play an important role  in  the  development  of  their  affective  responses  to  mathematical situations. On the other hand, when students develop positive attitude and interest towards mathematics, their performance in the subject will increase.

The findings of this study will also be of great benefit to the society. There is a common saying that no society can grow above the ability of its teachers, that there  is  no  society without  modern technology, no  modern technology without science and no science without mathematics. This is why mathematics teachers’ competencies are of paramount importance. Worthy of note, is teachers’ competencies in assessing affective outcomes of students. This is so because good and appropriate assessment will go a long way in producing seasoned mathematicians, reduce dropout rate and hence move the society forward both technologically and otherwise as mathematics is seen as life wire in the development of science and technology.

The knowledge of the level of competency of teachers in assessing the affective outcome of students will help the government and educational institutions take necessary steps to improve on the quality of mathematics teachers by appropriate training and retraining of mathematics teachers. This

can  be  achieved  by  organizing  in-service  training  such  as  conferences, seminars and workshops to seek for further knowledge.

Scope of the Study

This study will be on secondary school mathematics teachers’ competencies in assessing affective outcome in Nsukka Education zone. The study  will  focus  on  the  extent  to  which  secondary  school  mathematics teachers possess these competencies as it relates to mathematics teachers’ competencies in: developing affective instrument, gathering data on students’ affective behavior, use of data obtained from affective instrument, interpreting and scoring affective instrument and also the influence of variables such as qualification, experience and gender on the possession of these competencies.

Research Questions

The following research questions will guide the study

(1) What   is   the   mean  response  of   mathematics  teachers  on   their competence in developing affective instrument?

(2) What is the mean response of mathematics teachers in gathering data on students’ affective behavior?

(3) What is the mean response of mathematics teachers in scoring and interpreting affective instrument?

(4) What is the mean response of mathematics teachers in using data from affective instrument to direct instructions?

(5) What are the mean ratings of qua1ified and non-qualified mathematics teachers  on  the   competencies  possessed  for  assessing  students’ affective outcome?

(6) What are the mean ratings of mathematics teachers across different years of experience on competencies possessed for assessing students’ affective outcome?

(7) What are the mean ratings of male and female mathematics teachers on competencies possessed for assessing students’ affective outcome?

Hypotheses

The following hypotheses will guide the study, and tested at p≤ 0.05

(1) There is no significant difference between the mean ratings of qualified and non-qualified mathematics teachers on competencies possessed for assessing students’ affective outcomes.

(2) There  is  no  significant  difference  between  the  mean  ratings  of experienced mathematics teachers and in-experience mathematics teachers on competencies possessed for assessing students’ affective outcomes.

(3) There is no significant difference between the mean ratings of male and female mathematics teachers’ on competencies possessed for assessing students’ affective outcomes.


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