a. A research problem is a statement about an area of concern, a condition to be improved, a difficulty to be eliminated, or a troubling question that exists in scholarly literature, in theory, or in practice that points to the need for meaningful understanding and deliberate investigation.
b. Mathematical investigation refers to the sustained exploration of a mathematical situation. It distinguishes itself from problem solving because it is open-ended.
c. Specific objectives are detailed objectives that describe what will be researched during the study, whereas the general objective is a much broader statement about what the study aims to achieve overall.
d. An objective is an intent while a hypothesis is what the researcher believes. In fact, a researcher may have multiple hypotheses to achieve an objective. As such hypothesis should come after objectives. In other words, a researcher would aim to achieve the objectives through the hypotheses.
e. The justification of the study is basically why a particular research work was carried out.
f. The significance of the study is actually all about what was found during the research work.
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