International Journal of Transformation in Applied Mathematics & Statistics [ISSN: 2581-7620 (online)]

Developing a Multidimensional Mathematical Framework for Assessing Secondary-School Performance in Jamaica:

2026-09-04T07:42:24+00:00

Assessment of secondary-school performance in Jamaica has traditionally placed considerable emphasis on students' outcomes in external examinations such as the Caribbean Secondary Education Certificate (CSEC) and Caribbean Advanced Proficiency Examination (CAPE), and the Ministry of Education publishes external examination performance reports to support decision-making. However, an average examination result primarily represents attained academic performance at one point in time and cannot, by itself, determine how much learning a school generated, whether progress was equitably distributed, whether students remained engaged in schooling, whether they completed secondary education, or whether the institutional environment supported their academic and personal development. International research increasingly conceptualises school performance as multidimensional and distinguishes attainment from growth, graduation, attendance, discipline, equity, school climate, teaching quality and institutional effectiveness (OECD, 2008; Sun et al., 2020). Jamaica's National Education Inspectorate similarly recognises multiple dimensions of school quality, including leadership and management, teaching, student progress, student performance, personal and social development, resource use, and safety, security, health and well-being, demonstrating that a broader conceptualisation is already compatible with the country's educational quality-assurance architecture (Ministry of Education, Youth and Information [MOEYI], 2018). This conceptual and methodological paper proposes the Jamaican Multidimensional Secondary School Performance and Quality Framework (J-MSSPQF), which integrates academic attainment, student growth/value added, educational equity, attendance and engagement, progression and completion, post-secondary readiness, student well-being and school climate, and institutional quality in a mathematically explicit assessment architecture. The framework provides student-, school- and regional-level measures, standardises indicators to comparable scales, assigns transparent weights, incorporates minimum-domain safeguards and measurement uncertainty, and is intended to complement rather than replace external examination results, school inspection and professional educational judgement.

Lesson: Mathematical Analysis and Model Design for Logic and Puzzle Games

2026-09-04T07:51:51+00:00

Mathematical logic and puzzle games provide structured environments for analyzing problem-solving strategies and the underlying principles that govern them. This article examines the essential components of mathematical puzzle games, including game states, transitions, constraints, and solution objectives. It further explains the mathematical foundations behind these games-such as graph theory, invariants, combinatorics, and algebraic models-and demonstrates how these principles shape solvability and strategy. Finally, a systematic framework for designing mathematical solution models is presented, offering methods for representing game mechanics, identifying solvable structures, and constructing efficient algorithms. This integrative approach supports deeper understanding of both the theory and practice of mathematical puzzle design and analysis.

Mathematics Teacher Quality and Four Decades of CSEC Mathematics Underachievement in Jamaica: Reconsidering the Teacher-Quality Explanation of a Persistent National Dilemma

2026-09-04T07:56:39+00:00

Mathematics achievement has remained one of the most persistent challenges confronting Jamaica's secondary education system, despite repeated curriculum reforms, professional-development programmes, mathematics coaches, specialist-teacher initiatives and substantial public investment in education. This study critically examines approximately four decades of Jamaican performance in Caribbean Secondary Education Certificate (CSEC) Mathematics and evaluates the extent to which the quality, preparation, deployment and retention of mathematics teachers help explain the persistence and volatility of these outcomes. Using an integrative historical-policy review, the study synthesises CSEC performance data, national mathematics policy, education-transformation reports, governmental records and empirical scholarship on mathematics teachers and student achievement. The principal research gap arises because Jamaican studies have examined teacher-quality deficiencies, student performance, cognitive-domain weaknesses and individual interventions, but have not sufficiently integrated approximately four decades of examination outcomes with longitudinal changes in mathematics-teacher preparation, specialist supply, migration and institutional reform in one explanatory framework. The evidence suggests that mathematics-teacher quality is an important component of the problem, particularly because Jamaica has historically deployed substantial numbers of teachers without full mathematics specialisation and has repeatedly lost qualified mathematics educators, but CSEC underachievement cannot be attributed to teachers alone because foundational numeracy, socioeconomic inequalities, student selection into the examination, school leadership, resources, mathematics anxiety, curriculum-examination alignment and pandemic-related learning loss also affect outcomes. The study develops a Mathematics Teacher Quality-Achievement Continuum Framework and argues that Jamaica's four-decade dilemma is best understood not as evidence that its mathematics teachers are uniformly poor, but as evidence that the education system has not yet succeeded in ensuring that every student receives sustained access to appropriately qualified, mathematically knowledgeable, pedagogically capable and institutionally supported mathematics teaching from the primary grades through CSEC.