Browsing by Author "Otuma, Nick Vincent"

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Rethinking Proficiency in the Language of Teaching and Learning (LoTL) as a Pillar in the Learning of School Mathematics
(International Journal of English Language and Communication Studies, 2022-04-10) Otuma, Nick Vincent; Kati, Robert O.; Wekesa, Duncan Wasike
Although English has become the preferred language of instruction in most classrooms, including those of mathematics across the world today, it will still remain a second language (L2) to many students and their teachers for a long time to come. In mathematics language research, the attention so far given to the role of English as the Language of Teaching and Learning (LoTL) has been with the regard to the impact of levels of student proficiency in the language. This perhaps explains why those who learn in English as their first language (L1) are perceived as proficient in mathematical language, while L2 learners have to attain a level of proficiency in English first. This is in spite of the current absence of clear benchmarks for satisfactory proficiency in English for successful general learning in school mathematics. The poignant question remains: must L2 learners learn mathematics in English given the double jeopardy they face? This paper presents a critical analysis of findings of students’ interpretation of lexical vocabulary common in mathematics texts and in the classroom language typical of mathematics students in L2 contexts, to highlight the general difficulty of this language (English) to the mathematics learners. The main study from which the paper is extracted employed multiple-case study design to examine Mathematical Language (ML) usage and learners’ conceptual understanding of mathematics in secondary schools in Kenya. Data were collected by questionnaires, classroom observations and interviews. The findings of the paper indicate that a majority of L2 students have low proficiency in LoTL; socio-economic background is a factor of proficiency in the LoTL, and mathematics teachers were not aware of the importance of language in learning mathematical concepts. The main conclusion of the paper is that interpretation of mathematical concepts is language dependent which is a challenge to learners not versed in the LoTL. The paper recommends rethinking of LoTL mathematics which L2 learners are versed in to raise levels of conceptual understanding of mathematics.
Specialised Mathematical English as A Resource of Learning Secondary School Mathematics: A Case Study in L2 Classrooms
(International Journal of Research and Innovation in Social Science, 2022-12-03) Otuma, Nick Vincent; Kati, Robert; Wekesa, Duncan Wasike
Perhaps more than any other subject, teaching and learning mathematics depends on language. Mathematics is about relationships: relation between numbers, categories, geometric forms, variables and so on. In general, these relationships are abstract in nature and can only be realized and articulated through language. Even mathematical symbols must be interpreted linguistically. Thus, while mathematics is often seen as language free, in many ways learning mathematics fundamentally depends on language. For students still developing their proficiency in the language instruction, the challenge is considerable. Indeed research has shown that while many second speakers of English (L2) students are quickly able to develop a basic level of conversational English it takes several years do develop more specialised mathematical English. This paper reports findings of a study whose part of the objectives investigated how students construe specialised mathematical meanings from everyday words to express conceptual understanding of mathematics. The study employed multiple-case study design in three categories of schools, that is, Sub-County School (SCS), County School (CS) and Extra-County School (ECS). Data were collected by questionnaires, classroom observations and interviews. Findings indicate that students had challenges in interpreting mathematical meanings of ordinary vocabulary used in mathematics curriculum-they stated ordinary meanings of words instead of mathematical meanings. The paper recommends integration of mathematical language as a strand in the curriculum of mathematics in secondary schools in L2 context to assist learners attain conceptual understanding of mathematics
Specialised Mathematical English as A Resource of Learning Secondary School Mathematics: A Case Study in L2 Classrooms
(International Journal of Research and Innovation in Social Science, 2022-11-10) Otuma, Nick Vincent; Kati, Robert; Wekesa, Duncan Wasike
Perhaps more than any other subject, teaching and learning mathematics depends on language. Mathematics is about relationships: relation between numbers, categories, geometric forms, variables and so on. In general, these relationships are abstract in nature and can only be realized and articulated through language. Even mathematical symbols must be interpreted linguistically. Thus, while mathematics is often seen as language free, in many ways learning mathematics fundamentally depends on language. For students still developing their proficiency in the language instruction, the challenge is considerable. Indeed research has shown that while many second speakers of English (L2) students are quickly able to develop a basic level of conversational English it takes several years do develop more specialised mathematical English. This paper reports findings of a study whose part of the objectives investigated how students construe specialised mathematical meanings from everyday words to express conceptual understanding of mathematics. The study employed multiple-case study design in three categories of schools, that is, Sub-County School (SCS), County School (CS) and Extra-County School (ECS). Data were collected by questionnaires, classroom observations and interviews. Findings indicate that students had challenges in interpreting mathematical meanings of ordinary vocabulary used in mathematics curriculum-they stated ordinary meanings of words instead of mathematical meanings. The paper recommends integration of mathematical language as a strand in the curriculum of mathematics in secondary schools in L2 context to assist learners attain conceptual understanding of mathematics.
The Mathematics-Language Proficiency: The Learners’ Perspective
(International Journal of Research and Innovation in Social Science, 2024-04-10) Otuma, Nick Vincent; Kati, Robert O.
Mathematics is considered a difficult school subject by majority of learners. For many learners, mathematics is a series of hurdles and challenges-a task made with continued failure and seeming irrelevance in spite of the value that mathematics plays in society. The effect of this has been unwilling class participation, disinterestedness, haphazard solving of mathematical tasks, plus low achievements and failure to communicate mathematics. The latter effect is important in application of mathematics in occupations such as building, construction, engineering and accounting. This state of affairs propagated the topic of the paper: “The Mathematics-Language Proficiency: The Learners’ Perspective”. The objective was to find out the nature of the relationship between proficiency in mathematics vocabulary and conceptual understanding of mathematics. The study drew on Vygotskian Socio-Cultural Theory (SCT) and used a multiple-case study design. The sample size of the study was 1353 participants comprising of 1339 form three learners and 14 mathematics teachers drawn from Sub-County Schools (SCS), County Schools (CS) and Extra-County Schools (ECS) in Bungoma South Sub- County. Data were collected by questionnaires, classroom observations and interviews. Analysis was done using Pearson correlation with two tailed tests for all the tests with a level of significance of 0.01. The study found out that there exists a strong positive relationship between mathematics vocabulary and conceptual understanding across all cases, that is, 0.798, 0.778 and 0.709 in SCS, CS and ECS respectively. Further learners were unable to interpret the meaning of some mathematics solutions after solving the question correctly. The study concluded that proficiency in mathematics vocabulary is necessary but not sufficient for conceptual understanding of mathematics. The study recommends learners to be supported in communicating mathematics ideas both verbally and in writing during mathematics lessons to broaden their conceptual understanding of mathematics.