When organizing counterarguments in your speech, you can choose between the refutation method and the concession method. The refutation method involves presenting and refuting counterarguments before introducing your main argument. Alternatively, the concession method involves presenting and refuting counterarguments after presenting your main argument. The best method to use depends on your purpose, audience, and topic. You should consider the strength and number of the counterarguments, the attitude and knowledge of the audience, and the complexity and controversy of the topic. For instance, if the counterarguments are weak or few, you can use the refutation method to dismiss them quickly. On the other hand, if the counterarguments are strong or many, you can use the concession method to acknowledge them and show why they are not sufficient or convincing. Additionally, if the audience is hostile or skeptical, you can use the refutation method to gain their attention and trust. On the contrary, if the audience is friendly or informed, you can use the concession method to show your respect and fairness. Furthermore, if the topic is simple or uncontroversial, you can use the refutation method to avoid unnecessary or repetitive arguments. Conversely, if the topic is complex or controversial, you can use the concession method to show its nuances and implications.