The teaching and learning of algebraic linear graphs in the school have experience problems with regards to understanding this topic. The learner's inability to understand algebraic linear graphs as a result of scaling was evidence in this study. Learners experience difficulties in interpreting, constructing and predicting from linear graphs without the knowledge of scaling. Four tasks were considered necessary for constructing linear graphs. This research focused on scaling task. The objective of the research is to establish the fact that scaling has influence on the understanding of algebraic linear graphs. An empirical method of research was employed to carry out this research. The results proved that scaling has influence on the understanding of algebraic linear graphs at grade 9 (Form B). Learners will find it easy to construct, interpret and make prediction from a graph drawn by scaling. / Mathematical Sciences / M.A. (Mathematics Education)

Computer aided auto-construction of various types of folded horns and acoustic analysis of coupled horn and driver systems are presented in this thesis. A new procedure is developed for auto construction of folded horn shapes. Linear graph modeling technique is employed for specification of horn driver output in terms of diaphragm velocity or throat pressure. In the final phase of the design procedure, acoustic analysis of folded horns is carried by means of finite element analysis. A commercial software package MSC.ACTRAN is used to calculate directivity patterns and resulting acoustic pressure in the free field. Horn geometry consisting of linear, exponential, hyperbolic and tractrix shapes is automatically constructed by parallel working of Delphi and finite element analysis program. The enclosure bordering the horn contours are considered rigid in the analyses. Maximum number of folding is limited to two. This study is made possible to evaluate the performance of these four types of horn contours for a specified range of frequencies.

The teaching and learning of algebraic linear graphs in the school have experience problems with regards to understanding this topic. The learner's inability to understand algebraic linear graphs as a result of scaling was evidence in this study. Learners experience difficulties in interpreting, constructing and predicting from linear graphs without the knowledge of scaling. Four tasks were considered necessary for constructing linear graphs. This research focused on scaling task. The objective of the research is to establish the fact that scaling has influence on the understanding of algebraic linear graphs. An empirical method of research was employed to carry out this research. The results proved that scaling has influence on the understanding of algebraic linear graphs at grade 9 (Form B). Learners will find it easy to construct, interpret and make prediction from a graph drawn by scaling. / Mathematical Sciences / M.A. (Mathematics Education)