Yes - the answers are correct so far - and that is good to see, especially in a succinct manner. This is because the interchangeable use of 'related' terms can be a real issue and quite a distraction - especially when it comes to students submitting their theses and examiners having a view on the terminology. I inform my RHD students that methodology is the philosophical/theoretical underpinning of the adopted 'paradigm' (approach) i.e. qualitative, quantitative or mixed methods - and will include the theoretical/conceptual framework. The method (the same thing as design) is the 'doing' part of the research process i.e. sampling, setting, ethical review process, data collection and data analysis.
All the methods and techniques which are used by the researcher during the course of studing his research problem are termed as methods. Whereas research methodology includes not only the techniques and methods but also the "logic behind using them."
Yes - the answers are correct so far - and that is good to see, especially in a succinct manner. This is because the interchangeable use of 'related' terms can be a real issue and quite a distraction - especially when it comes to students submitting their theses and examiners having a view on the terminology. I inform my RHD students that methodology is the philosophical/theoretical underpinning of the adopted 'paradigm' (approach) i.e. qualitative, quantitative or mixed methods - and will include the theoretical/conceptual framework. The method (the same thing as design) is the 'doing' part of the research process i.e. sampling, setting, ethical review process, data collection and data analysis.
In response to the original question, I think of methods as the concrete techniques that are used in the collection and analysis of the data, while methodology involves more abstract questions about the nature of our data collection and analysis practices. In particular, taking methodology in terms of its root meaning, it is the study of methods -- how and why we use our methods in the ways that we do.
Beyond, that I am uncomfortable with calling qualitative, quantitative, and mixed methods "paradigms," because this usage has no relationship to either the original version created by Thomas Kuhn or the version promoted in the social sciences by Lincoln & Guba (1985; 1994; etc.). A family of methods might be an "approach" to doing research, but I do not think it is either a "worldview" or a combination of ontology and epistemology. I recognize that this usage of the term paradigms to refer to families of methods is all too common in the social sciences, but I think it promotes confusion because it is not connected to Kuhn's original work or even Lincoln & Guba's dubious interpretation of Kuhn.
"Methods" is a shortened version of "materials and methods." It is a description of what was used and how it was used.
Methodology covers the why. It could be a justification of why a specific approach was used, or answering more general questions about experimental design and analysis of data. It can be a critical part of a paper if you had to run several preliminary experiments to develop the current method. It may be a separate paper, or can be placed in an online appendix depending on how much work was involved and how controversial the outcome.
If you are referring to journal author guidelines, then methods and methodology are the same. Otherwise, methods may include methodology, sampling, research steps etc.