Papers by Dr Andrew Hunte
Opportunities for Reasoning and Proving in Geometry in Secondary School Textbooks from Trinidad and Tobago
International Perspectives on the Teaching and Learning of Geometry in Secondary Schools, 2018
This study examines the quantity and quality of opportunities for reasoning and proving within th... more This study examines the quantity and quality of opportunities for reasoning and proving within the geometry content of three secondary school Mathematics textbooks in Trinidad and Tobago. I use an instrument from Otten et al. (Math Thinking Learn 16:51–79, 2014) to code and analyze the opportunities for students to reflect on or engage in reasoning and proof. My analysis suggests that the three textbooks contain opportunities for students to identify patterns, make conjectures, and construct proofs. At least 30% of the student exercises in two of the textbooks promoted Geometric Calculations with Number and Explanation (GCNE), which provide opportunities for students to develop non-proof arguments or rationales. The findings of this examination can potentially help in guiding curriculum developers, policy makers, and textbook authors with the future design of textbooks, curriculum materials, and other instructional resources that foster the intellectual need of reasoning and proof in students’ mathematical experiences.
Reform-Based Instruction of Reasoning and Proof in Trinidad and Tobago
AERA Online Paper Repository, Apr 28, 2017
D-Graphs For Graphs With Cyclomatic Number 1
Ars Comb., 2016
Opportunities for Reasoning and Proving in Geometry in Secondary School Textbooks from Trinidad and Tobago
This study examines the quantity and quality of opportunities for reasoning and proving within th... more This study examines the quantity and quality of opportunities for reasoning and proving within the geometry content of three secondary school Mathematics textbooks in Trinidad and Tobago. I use an instrument from Otten et al. (Math Thinking Learn 16:51–79, 2014) to code and analyze the opportunities for students to reflect on or engage in reasoning and proof. My analysis suggests that the three textbooks contain opportunities for students to identify patterns, make conjectures, and construct proofs. At least 30% of the student exercises in two of the textbooks promoted Geometric Calculations with Number and Explanation (GCNE), which provide opportunities for students to develop non-proof arguments or rationales. The findings of this examination can potentially help in guiding curriculum developers, policy makers, and textbook authors with the future design of textbooks, curriculum materials, and other instructional resources that foster the intellectual need of reasoning and proof i...
Mathematics education reform in Trinidad and Tobago: the case of reasoning and proof in secondary school
International Journal of Higher Education
Personal tutoring provides professional skills development and support to students as they matric... more Personal tutoring provides professional skills development and support to students as they matriculate through their respective university programmes. Recently, there has been a growing trend of students facing academic difficulties in their first year of undergraduate study at the University of Trinidad and Tobago (UTT) which have impacted on student retention rates. This paper shares the experiences of a pilot study of the Personal Tutoring Programme (PTP) launched in term 2 (January to May) of the 2018 academic year, at the UTT where five hundred and thirty-two (532) students along with forty-eight (48) personal tutors (PTs) engaged in activities that promoted academic and social support. During term 2, PTs met with their assigned tutees at least once per week. The evaluation of the PTP in skills development was based primarily on pass rates of term 2 courses in the Certificate of Applied Engineering (CAE) and Bachelor of Applied Science Common Year I (BASc Common Yr I). These pr...
Construction of D-graphs of Graphs with Small Cyclomatic Numbers Andrew Anthony Hunte This thesis... more Construction of D-graphs of Graphs with Small Cyclomatic Numbers Andrew Anthony Hunte This thesis deals with the construction of D-graphs of graphs with small cyclomatic numbers. Let G be a graph with p nodes. The matching polynomial of G is M(G;w l;w2) = Y J akw i~2 kW2 > ^ i » where is the number of matchings with k edges and w2 is the monomial we associated with every matching in G with k edges, (and therefore p-2k nodes component nodes); and the summation is taken over all matchings in G. A D-graph for G, denoted by D(G) is a graph whose determinant of its matching matrix A(D(G)) gives the matching polynomial of G. (D(G) and G are co-matching). The cyclomatic number of a graph G is the qp + k, where p, q and k are the number of nodes, edges and components respectively in G. In this thesis, we identify the D-graphs for the basic graphs with cyclomatic numbers 0, 1 and 2. Moreover, we extend our ideas to the construction of D-graphs of graphs formed by the attachment of trees t...
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Papers by Dr Andrew Hunte